Atkin-Lehner |
2- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99238n |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
8141941617848 = 23 · 297 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 -2 5 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12212,-506051] |
[a1,a2,a3,a4,a6] |
Generators |
[-680001:689431:9261] |
Generators of the group modulo torsion |
j |
338608873/13688 |
j-invariant |
L |
17.479827522651 |
L(r)(E,1)/r! |
Ω |
0.45528576525585 |
Real period |
R |
6.3988483933712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422d1 |
Quadratic twists by: 29 |