Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694be |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-3.8566165489308E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7350989,-5515298098] |
[a1,a2,a3,a4,a6] |
Generators |
[32878:-5997772:1] |
Generators of the group modulo torsion |
j |
5137417856375/4510142208 |
j-invariant |
L |
4.5296673192077 |
L(r)(E,1)/r! |
Ω |
0.063367840862356 |
Real period |
R |
1.4892107587162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998708591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bg1 9438z1 |
Quadratic twists by: -11 13 |