Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98020h |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
2329224951040 = 28 · 5 · 137 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- -3 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3605,-40585] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:169:1] |
Generators of the group modulo torsion |
j |
4194304/1885 |
j-invariant |
L |
6.8902215324509 |
L(r)(E,1)/r! |
Ω |
0.64257890171029 |
Real period |
R |
0.89356361759395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540b1 |
Quadratic twists by: 13 |