Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70180o |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3815424 |
Modular degree for the optimal curve |
Δ |
1.65855078125E+19 |
Discriminant |
Eigenvalues |
2- 0 5- -5 11- -1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17326232,27758339444] |
[a1,a2,a3,a4,a6] |
Generators |
[4213:171875:1] |
Generators of the group modulo torsion |
j |
153470667571401793536/4425048828125 |
j-invariant |
L |
3.3950771799249 |
L(r)(E,1)/r! |
Ω |
0.20447352566337 |
Real period |
R |
0.3459165400382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70180k1 |
Quadratic twists by: -11 |