Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2370h |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-834680743463485440 = -1 · 224 · 313 · 5 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,58214,-43598041] |
[a1,a2,a3,a4,a6] |
j |
21817529432070364511/834680743463485440 |
j-invariant |
L |
1.6260676026589 |
L(r)(E,1)/r! |
Ω |
0.1355056335549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18960u1 75840bj1 7110m1 11850q1 |
Quadratic twists by: -4 8 -3 5 |