Atkin-Lehner |
2+ 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954i |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-20523146626332 = -1 · 22 · 38 · 76 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4140,194076] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-711:1] [14:498:1] |
Generators of the group modulo torsion |
j |
66676466375/174443868 |
j-invariant |
L |
7.1231199200077 |
L(r)(E,1)/r! |
Ω |
0.47804816251244 |
Real period |
R |
3.7251057915426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2346f1 |
Quadratic twists by: -7 |