Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275eo |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1787721086984765625 = 38 · 58 · 78 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-617630,175557372] |
[a1,a2,a3,a4,a6] |
Generators |
[-670:17313:1] [-166:16620:1] |
Generators of the group modulo torsion |
j |
19443408769/1334025 |
j-invariant |
L |
7.6647566280551 |
L(r)(E,1)/r! |
Ω |
0.25951761802353 |
Real period |
R |
3.6918286553147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971671 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40425j2 24255bh2 17325bg2 |
Quadratic twists by: -3 5 -7 |