Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800v |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-789750000000000 = -1 · 210 · 35 · 512 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17992,-976512] |
[a1,a2,a3,a4,a6] |
j |
40254822716/49359375 |
j-invariant |
L |
2.6994018922655 |
L(r)(E,1)/r! |
Ω |
0.26994018922655 |
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 |
15600i1 62400m1 23400r1 1560b1 |
Quadratic twists by: -4 8 -3 5 |