Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24794bp |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
103264755134464 = 212 · 77 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11957,114267] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:-532:1] [-81:788:1] |
Generators of the group modulo torsion |
j |
1606957644097/877735936 |
j-invariant |
L |
8.2332342717356 |
L(r)(E,1)/r! |
Ω |
0.51950883885447 |
Real period |
R |
0.11005633344801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542q1 |
Quadratic twists by: -7 |