Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050p |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
210038400 |
Modular degree for the optimal curve |
Δ |
-2.6937544619127E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -2 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4720031367,147697594324541] |
[a1,a2,a3,a4,a6] |
Generators |
[55453463146:46068809574091:79507] |
Generators of the group modulo torsion |
j |
-74168622330075/17179869184 |
j-invariant |
L |
2.9401591792431 |
L(r)(E,1)/r! |
Ω |
0.024403721376573 |
Real period |
R |
10.039995997173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dt1 76050ea1 76050ds1 |
Quadratic twists by: -3 5 13 |