Atkin-Lehner |
2- 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248bg |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-108074104484589936 = -1 · 24 · 311 · 73 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-328179,74071051] |
[a1,a2,a3,a4,a6] |
Generators |
[509:6237:1] [-415:11781:1] |
Generators of the group modulo torsion |
j |
-335126339717492992/9265612524399 |
j-invariant |
L |
10.065457523818 |
L(r)(E,1)/r! |
Ω |
0.33330470266241 |
Real period |
R |
0.10485752229637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31416h1 |
Quadratic twists by: -3 |