Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bi |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
4.4799734219006E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31229215,-58962791995] |
[a1,a2,a3,a4,a6] |
j |
71595431380957421881/9522562500000000 |
j-invariant |
L |
3.0924429025259 |
L(r)(E,1)/r! |
Ω |
0.06442589655076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6270l1 |
Quadratic twists by: -19 |