Atkin-Lehner |
2+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91630w |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-23457667045120 = -1 · 28 · 5 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31042,2105076] |
[a1,a2,a3,a4,a6] |
Generators |
[510:4743:8] |
Generators of the group modulo torsion |
j |
-28119423707929/199386880 |
j-invariant |
L |
7.1633310392374 |
L(r)(E,1)/r! |
Ω |
0.67874014202056 |
Real period |
R |
2.6384659576762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090a1 |
Quadratic twists by: -7 |