Atkin-Lehner |
2- 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954cm |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
568017372132 = 22 · 32 · 79 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2108,8364] |
[a1,a2,a3,a4,a6] |
Generators |
[21588:110958:343] |
Generators of the group modulo torsion |
j |
25672375/14076 |
j-invariant |
L |
12.698173035369 |
L(r)(E,1)/r! |
Ω |
0.80069141177318 |
Real period |
R |
7.9295049411069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114954bi1 |
Quadratic twists by: -7 |