Atkin-Lehner |
2- 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bv |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-13630631273437500 = -1 · 22 · 312 · 59 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80688,10424781] |
[a1,a2,a3,a4,a6] |
j |
-3718183976571961/872360401500 |
j-invariant |
L |
1.515911943571 |
L(r)(E,1)/r! |
Ω |
0.37897798719976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070e1 |
Quadratic twists by: 5 |