Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624q |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
462336 |
Modular degree for the optimal curve |
Δ |
-145343636944896 = -1 · 211 · 3 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -2 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64952,6376176] |
[a1,a2,a3,a4,a6] |
j |
-3065617154/14703 |
j-invariant |
L |
1.1658892857356 |
L(r)(E,1)/r! |
Ω |
0.58294468402733 |
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 |
9048o1 |
Quadratic twists by: 13 |