Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850dt |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-8483983960320000 = -1 · 211 · 39 · 54 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25945,4122847] |
[a1,a2,a3,a4,a6] |
Generators |
[499:11630:1] |
Generators of the group modulo torsion |
j |
157010653125/689649664 |
j-invariant |
L |
12.478436129403 |
L(r)(E,1)/r! |
Ω |
0.29575085857146 |
Real period |
R |
0.15981966547524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850p1 113850i1 |
Quadratic twists by: -3 5 |