Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050y |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
572400 |
Modular degree for the optimal curve |
Δ |
373456562500000 = 25 · 510 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 4 0 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62617,5974541] |
[a1,a2,a3,a4,a6] |
Generators |
[-7179:56036:27] |
Generators of the group modulo torsion |
j |
56742473025/780448 |
j-invariant |
L |
9.6587528455521 |
L(r)(E,1)/r! |
Ω |
0.53764902944381 |
Real period |
R |
5.9882639141396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050co1 71050i1 |
Quadratic twists by: 5 -7 |