Atkin-Lehner |
7- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126077c |
Isogeny class |
Conductor |
126077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
305088 |
Modular degree for the optimal curve |
Δ |
-22531073285987 = -1 · 710 · 312 · 83 |
Discriminant |
Eigenvalues |
0 0 4 7- -3 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4802,-189079] |
[a1,a2,a3,a4,a6] |
Generators |
[4205:12764:125] |
Generators of the group modulo torsion |
j |
43352064/79763 |
j-invariant |
L |
5.4760412197612 |
L(r)(E,1)/r! |
Ω |
0.35467494018358 |
Real period |
R |
7.7198027137412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126077a1 |
Quadratic twists by: -7 |