Atkin-Lehner |
3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565g |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2212332554025 = 32 · 52 · 11 · 197 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-353787,-81143064] |
[a1,a2,a3,a4,a6] |
Generators |
[1346552824:62361803388:571787] |
Generators of the group modulo torsion |
j |
104094944089921/47025 |
j-invariant |
L |
6.2381519162349 |
L(r)(E,1)/r! |
Ω |
0.19575548467665 |
Real period |
R |
15.933530359233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135e1 |
Quadratic twists by: -19 |