Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518ca |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3725568 |
Modular degree for the optimal curve |
Δ |
1.2204836491633E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17701718,28670205413] |
[a1,a2,a3,a4,a6] |
Generators |
[2421:-1085:1] |
Generators of the group modulo torsion |
j |
3925553794409401/78102144 |
j-invariant |
L |
10.933000307872 |
L(r)(E,1)/r! |
Ω |
0.2077266523292 |
Real period |
R |
3.7594048941669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506q1 67518v1 |
Quadratic twists by: -3 -11 |