Atkin-Lehner |
2- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160y |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
37837914284800 = 28 · 52 · 7 · 615 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10900,-319300] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:82:1] |
Generators of the group modulo torsion |
j |
559503855489616/147804352675 |
j-invariant |
L |
4.3989537696499 |
L(r)(E,1)/r! |
Ω |
0.47642424064636 |
Real period |
R |
4.6166351272152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540g1 |
Quadratic twists by: -4 |