Atkin-Lehner |
2+ 5+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350o |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1155308000000 = -1 · 28 · 56 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2449,22498] |
[a1,a2,a3,a4,a6] |
Generators |
[7:196:1] |
Generators of the group modulo torsion |
j |
104021936927/73939712 |
j-invariant |
L |
7.0154580462476 |
L(r)(E,1)/r! |
Ω |
0.55042579164226 |
Real period |
R |
1.06212592638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774i1 |
Quadratic twists by: 5 |