Atkin-Lehner |
2+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790f |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
469418982932480 = 215 · 5 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -5 -5 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75829,-7975488] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:246:1] |
Generators of the group modulo torsion |
j |
409857819530041/3989995520 |
j-invariant |
L |
1.4448178125236 |
L(r)(E,1)/r! |
Ω |
0.28787016698645 |
Real period |
R |
1.2547477806125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970d1 |
Quadratic twists by: -7 |