Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248br |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6.2924806249647E+25 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11+ 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289776321,-1859788282527] |
[a1,a2,a3,a4,a6] |
Generators |
[-10104188257651151250604520:198596208863893170725848299:1070004325465252257625] |
Generators of the group modulo torsion |
j |
10265319586058552545673521/240039086340513078432 |
j-invariant |
L |
8.5843806983289 |
L(r)(E,1)/r! |
Ω |
0.036643957904505 |
Real period |
R |
39.044093438032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248be2 15312x2 |
Quadratic twists by: -4 8 |