Atkin-Lehner |
2- 3- 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254bf |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
97440 |
Modular degree for the optimal curve |
Δ |
140614348896 = 25 · 36 · 7 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2063,31735] |
[a1,a2,a3,a4,a6] |
Generators |
[17:28:1] |
Generators of the group modulo torsion |
j |
1331363033001/192886624 |
j-invariant |
L |
8.4570432964102 |
L(r)(E,1)/r! |
Ω |
0.99269993489445 |
Real period |
R |
0.56794895073641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8806a1 |
Quadratic twists by: -3 |