Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94017g |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
244992 |
Modular degree for the optimal curve |
Δ |
6162603469869 = 3 · 7 · 118 · 372 |
Discriminant |
Eigenvalues |
2 3+ 1 7+ 11- 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4880,-52735] |
[a1,a2,a3,a4,a6] |
Generators |
[4186400:38655387:32768] |
Generators of the group modulo torsion |
j |
59969536/28749 |
j-invariant |
L |
12.238392369757 |
L(r)(E,1)/r! |
Ω |
0.5990107580082 |
Real period |
R |
10.215502986176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94017n1 |
Quadratic twists by: -11 |