Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576cg |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
524800 |
Modular degree for the optimal curve |
Δ |
-297970371342336 = -1 · 212 · 3 · 7 · 112 · 315 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 7 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28357,-2026381] |
[a1,a2,a3,a4,a6] |
Generators |
[2206:103323:1] |
Generators of the group modulo torsion |
j |
-615686922293248/72746672691 |
j-invariant |
L |
6.938195544103 |
L(r)(E,1)/r! |
Ω |
0.18273921703473 |
Real period |
R |
3.7967742444375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161b1 |
Quadratic twists by: -4 |