Atkin-Lehner |
2- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334bd |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-283385172066304 = -1 · 218 · 74 · 112 · 612 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-172851,27657697] |
[a1,a2,a3,a4,a6] |
Generators |
[222:377:1] [246:73:1] |
Generators of the group modulo torsion |
j |
-4720132479552555769/2342026215424 |
j-invariant |
L |
11.453684165424 |
L(r)(E,1)/r! |
Ω |
0.54094944054725 |
Real period |
R |
0.29407359506705 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103334o1 |
Quadratic twists by: -11 |