Atkin-Lehner |
2+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36946l |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
-75529311959908352 = -1 · 223 · 77 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-234784,45642752] |
[a1,a2,a3,a4,a6] |
j |
-12165889133809657/641988558848 |
j-invariant |
L |
1.3610404820439 |
L(r)(E,1)/r! |
Ω |
0.34026012051115 |
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 |
5278a1 |
Quadratic twists by: -7 |