Atkin-Lehner |
2- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550bl |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
912 |
Product of Tamagawa factors cp |
deg |
51830784 |
Modular degree for the optimal curve |
Δ |
2.6968619611062E+26 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11+ 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-250311213,1303511566417] |
[a1,a2,a3,a4,a6] |
Generators |
[-4542:1534175:1] |
Generators of the group modulo torsion |
j |
111005526397046706466266889/17259916551079854080000 |
j-invariant |
L |
7.7190471189567 |
L(r)(E,1)/r! |
Ω |
0.052737902362092 |
Real period |
R |
0.64195707782049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310d1 |
Quadratic twists by: 5 |