Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cn |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-7.2437153308764E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10643792,-13425648973] |
[a1,a2,a3,a4,a6] |
Generators |
[206247:15892051:27] |
Generators of the group modulo torsion |
j |
-3888335020909249/21120891264 |
j-invariant |
L |
11.739578003781 |
L(r)(E,1)/r! |
Ω |
0.041778650727728 |
Real period |
R |
5.0177618914606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826q1 3762g1 |
Quadratic twists by: -3 -19 |