Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bu |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
141004800 |
Modular degree for the optimal curve |
Δ |
-2.4380831690292E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1150112439,-18411207116961] |
[a1,a2,a3,a4,a6] |
j |
94970451538205961115211351/137623438821988460701800 |
j-invariant |
L |
3.1811278481724 |
L(r)(E,1)/r! |
Ω |
0.016568377729642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230f1 |
Quadratic twists by: -11 |