Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bf |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
2.4138219053698E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3358909,-2357897704] |
[a1,a2,a3,a4,a6] |
Generators |
[-376344162:-1035085942:357911] |
Generators of the group modulo torsion |
j |
173629978755828841/1000026931200 |
j-invariant |
L |
4.4191661516358 |
L(r)(E,1)/r! |
Ω |
0.11155797972268 |
Real period |
R |
9.903294579978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610g1 |
Quadratic twists by: 17 |