Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050p |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-266548515625000 = -1 · 23 · 510 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -6 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14674,387048] |
[a1,a2,a3,a4,a6] |
j |
304175/232 |
j-invariant |
L |
0.70628248097835 |
L(r)(E,1)/r! |
Ω |
0.35314124391974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050ck1 1450c1 |
Quadratic twists by: 5 -7 |