Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720co |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1509086522240000 = -1 · 210 · 54 · 119 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42592,-3865224] |
[a1,a2,a3,a4,a6] |
Generators |
[3622:217620:1] |
Generators of the group modulo torsion |
j |
-3538944/625 |
j-invariant |
L |
4.1656484703693 |
L(r)(E,1)/r! |
Ω |
0.16458027123151 |
Real period |
R |
6.3276850244493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720v1 9680k1 38720cn1 |
Quadratic twists by: -4 8 -11 |