Atkin-Lehner |
3+ 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339b |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
28044006365529 = 35 · 76 · 114 · 67 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18596,934515] |
[a1,a2,a3,a4,a6] |
j |
6045477024313/238370121 |
j-invariant |
L |
0.65948553021313 |
L(r)(E,1)/r! |
Ω |
0.6594858352643 |
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 |
2211e1 |
Quadratic twists by: -7 |