Atkin-Lehner |
2- 3+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130v |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
30159360 |
Modular degree for the optimal curve |
Δ |
-3.0549700206632E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 5 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58872515,-2664967226335] |
[a1,a2,a3,a4,a6] |
j |
-22566358311573865052430045361/3054970020663158244649205760 |
j-invariant |
L |
3.9568653542301 |
L(r)(E,1)/r! |
Ω |
0.019984168455681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114390h1 |
Quadratic twists by: -3 |