Atkin-Lehner |
2- 3+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658cm |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-82922994 = -1 · 2 · 33 · 73 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-204,1119] |
[a1,a2,a3,a4,a6] |
j |
-2738124199/241758 |
j-invariant |
L |
7.5192445540214 |
L(r)(E,1)/r! |
Ω |
1.8798110415845 |
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 |
119658db1 |
Quadratic twists by: -7 |