Atkin-Lehner |
2+ 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95120d |
Isogeny class |
Conductor |
95120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-60876800 = -1 · 211 · 52 · 29 · 41 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -5 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4603,120202] |
[a1,a2,a3,a4,a6] |
Generators |
[41:20:1] |
Generators of the group modulo torsion |
j |
-5266434468258/29725 |
j-invariant |
L |
2.9725732091631 |
L(r)(E,1)/r! |
Ω |
1.7520420333515 |
Real period |
R |
0.21207918779493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47560f1 |
Quadratic twists by: -4 |