Atkin-Lehner |
2+ 7- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116522i |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
322920 |
Modular degree for the optimal curve |
Δ |
-3764575996832 = -1 · 25 · 76 · 293 · 41 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 1 5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26289,1632373] |
[a1,a2,a3,a4,a6] |
j |
-17079827632777/31998368 |
j-invariant |
L |
2.3608162871766 |
L(r)(E,1)/r! |
Ω |
0.78693877463051 |
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 |
2378c1 |
Quadratic twists by: -7 |