Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504u |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1269760 |
Modular degree for the optimal curve |
Δ |
-1732747077921734656 = -1 · 216 · 319 |
Discriminant |
Eigenvalues |
2+ 2 -2 -4 6 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278049,-84734431] |
[a1,a2,a3,a4,a6] |
j |
-1372 |
j-invariant |
L |
3.2236583636581 |
L(r)(E,1)/r! |
Ω |
0.10073932381298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504cd1 7688o1 61504z1 |
Quadratic twists by: -4 8 -31 |