Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dd |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-170716170240 = -1 · 211 · 39 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-947,23059] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-118:1] |
Generators of the group modulo torsion |
j |
-39397347/71680 |
j-invariant |
L |
10.980131224831 |
L(r)(E,1)/r! |
Ω |
0.90875393601173 |
Real period |
R |
0.54921013709082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230f1 76230l1 |
Quadratic twists by: -3 -11 |