Atkin-Lehner |
2+ 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530c |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2965248 |
Modular degree for the optimal curve |
Δ |
-2.1188952242419E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 1 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,667192,-70778352] |
[a1,a2,a3,a4,a6] |
j |
153226437528791/98848026000 |
j-invariant |
L |
0.73915781541286 |
L(r)(E,1)/r! |
Ω |
0.12319293636394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530bm1 |
Quadratic twists by: -11 |