Atkin-Lehner |
2+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790h |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
149687175680000000 = 215 · 57 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4378649,3527662893] |
[a1,a2,a3,a4,a6] |
Generators |
[1157:-3641:1] |
Generators of the group modulo torsion |
j |
78914339560395844569/1272320000000 |
j-invariant |
L |
4.315586327131 |
L(r)(E,1)/r! |
Ω |
0.29804414729632 |
Real period |
R |
0.5171317219611 |
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 |
4970a1 |
Quadratic twists by: -7 |