Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20910l |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
251328 |
Modular degree for the optimal curve |
Δ |
6166609920000000 = 222 · 33 · 57 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -1 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595710,176681787] |
[a1,a2,a3,a4,a6] |
Generators |
[417:791:1] |
Generators of the group modulo torsion |
j |
23379134490037964233441/6166609920000000 |
j-invariant |
L |
7.4861151785682 |
L(r)(E,1)/r! |
Ω |
0.41430806554631 |
Real period |
R |
0.11733089834752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730g1 104550u1 |
Quadratic twists by: -3 5 |