Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350n |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
37270785656250000 = 24 · 38 · 59 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11837401,15674915948] |
[a1,a2,a3,a4,a6] |
Generators |
[1762:16106:1] |
Generators of the group modulo torsion |
j |
11740124784822581536129/2385330282000 |
j-invariant |
L |
7.2233819506967 |
L(r)(E,1)/r! |
Ω |
0.28909478813978 |
Real period |
R |
3.1232757569765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870s1 |
Quadratic twists by: 5 |