Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70180f |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
561440000 = 28 · 54 · 112 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- -7 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6101,181399] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-50:1] |
Generators of the group modulo torsion |
j |
810909958144/18125 |
j-invariant |
L |
2.3053117306413 |
L(r)(E,1)/r! |
Ω |
1.5145381823032 |
Real period |
R |
0.25368698274194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70180j1 |
Quadratic twists by: -11 |