Atkin-Lehner |
2- 3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29526v |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-44489839960129536 = -1 · 220 · 33 · 76 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-109564,17248784] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:5684:1] |
Generators of the group modulo torsion |
j |
-145454645963815022017/44489839960129536 |
j-invariant |
L |
8.9081622966485 |
L(r)(E,1)/r! |
Ω |
0.34068018012792 |
Real period |
R |
0.14526759530993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578p1 |
Quadratic twists by: -3 |