Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840m |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
187868160 |
Modular degree for the optimal curve |
Δ |
-7.7703290758061E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1141297347,44932454715854] |
[a1,a2,a3,a4,a6] |
Generators |
[536735:392501428:1] |
Generators of the group modulo torsion |
j |
-220238200726040308133659396/1040906994251290541519265 |
j-invariant |
L |
9.6784216948697 |
L(r)(E,1)/r! |
Ω |
0.024632199599141 |
Real period |
R |
6.5486246248931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999962036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280n1 |
Quadratic twists by: -3 |