Atkin-Lehner |
3- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275q |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1945265625 = 34 · 56 · 29 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-726,-7277] |
[a1,a2,a3,a4,a6] |
Generators |
[38344:287697:512] |
Generators of the group modulo torsion |
j |
2703045457/124497 |
j-invariant |
L |
10.987326463165 |
L(r)(E,1)/r! |
Ω |
0.92251589266365 |
Real period |
R |
5.9550878994203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4611a1 |
Quadratic twists by: 5 |