Atkin-Lehner |
2- 3+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7638h |
Isogeny class |
Conductor |
7638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-23509764 = -1 · 22 · 35 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26,-217] |
[a1,a2,a3,a4,a6] |
j |
1939096223/23509764 |
j-invariant |
L |
4.1942827361636 |
L(r)(E,1)/r! |
Ω |
1.0485706840409 |
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 |
61104r1 22914g1 |
Quadratic twists by: -4 -3 |