Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350ex |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
1092 |
Product of Tamagawa factors cp |
deg |
20127744 |
Modular degree for the optimal curve |
Δ |
-1.4906695062885E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37854220,162687349847] |
[a1,a2,a3,a4,a6] |
Generators |
[10599:-1329875:1] |
Generators of the group modulo torsion |
j |
526646344431378309263/1308681048044740608 |
j-invariant |
L |
11.010535065779 |
L(r)(E,1)/r! |
Ω |
0.048974665851416 |
Real period |
R |
0.20588006867886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450bf1 3654k1 |
Quadratic twists by: -3 5 |