Atkin-Lehner |
2+ 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550h |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
440937500 = 22 · 57 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-501,4148] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-34:1] [-8:91:1] |
Generators of the group modulo torsion |
j |
887503681/28220 |
j-invariant |
L |
5.496331966471 |
L(r)(E,1)/r! |
Ω |
1.6630056114659 |
Real period |
R |
0.41313239779796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110l1 |
Quadratic twists by: 5 |