Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370c |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.4850617181384E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3659249368,-83158963742912] |
[a1,a2,a3,a4,a6] |
Generators |
[615673526889184211471516348652885634796985061284942543014202968889321232656:312943127107289431567502335507072690174447257105672807006286938804766486207447:2252173634023329535932353427764483121281486269720319948907735057895424] |
Generators of the group modulo torsion |
j |
224494757451893010998773801/6152490825146276160000 |
j-invariant |
L |
4.5688381613533 |
L(r)(E,1)/r! |
Ω |
0.019443677552534 |
Real period |
R |
117.48904364951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610t8 |
Quadratic twists by: 17 |