Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616du |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-1750130453643264 = -1 · 234 · 33 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229299,-42310030] |
[a1,a2,a3,a4,a6] |
j |
-35148950502093/46137344 |
j-invariant |
L |
3.9267870181181 |
L(r)(E,1)/r! |
Ω |
0.10907741654611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702e1 77616dj1 77616dx1 |
Quadratic twists by: -4 -3 -7 |