Atkin-Lehner |
2- 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248p |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-471051504 = -1 · 24 · 33 · 73 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,1031] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] [1:33:1] |
Generators of the group modulo torsion |
j |
47409408/1090397 |
j-invariant |
L |
10.434574393399 |
L(r)(E,1)/r! |
Ω |
1.2458004547609 |
Real period |
R |
1.0469748940903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94248a1 |
Quadratic twists by: -3 |