Atkin-Lehner |
2+ 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
2490d |
Isogeny class |
Conductor |
2490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-15298560 = -1 · 212 · 32 · 5 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,57,117] |
[a1,a2,a3,a4,a6] |
j |
19924551431/15298560 |
j-invariant |
L |
1.4182103932694 |
L(r)(E,1)/r! |
Ω |
1.4182103932694 |
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 |
19920n1 79680ba1 7470o1 12450y1 |
Quadratic twists by: -4 8 -3 5 |