Atkin-Lehner |
2- 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550cj |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-611403187500 = -1 · 22 · 39 · 56 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 -3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5338,152531] |
[a1,a2,a3,a4,a6] |
j |
-1076575468249/39129804 |
j-invariant |
L |
1.8182501980603 |
L(r)(E,1)/r! |
Ω |
0.90912508566375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2982c1 |
Quadratic twists by: 5 |