Atkin-Lehner |
2+ 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550c |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
4574726562500 = 22 · 510 · 17 · 832 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4150,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:2175:8] |
Generators of the group modulo torsion |
j |
506071034209/292782500 |
j-invariant |
L |
5.5732273624554 |
L(r)(E,1)/r! |
Ω |
0.65481204630229 |
Real period |
R |
4.2555931836508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14110j1 |
Quadratic twists by: 5 |