Atkin-Lehner |
2- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34760m |
Isogeny class |
Conductor |
34760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-740248960000 = -1 · 210 · 54 · 114 · 79 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8040,277888] |
[a1,a2,a3,a4,a6] |
Generators |
[56:80:1] |
Generators of the group modulo torsion |
j |
-56136575694244/722899375 |
j-invariant |
L |
5.2424197279495 |
L(r)(E,1)/r! |
Ω |
0.90359573824725 |
Real period |
R |
1.4504328390586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69520q1 |
Quadratic twists by: -4 |