Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
2490i |
Isogeny class |
Conductor |
2490 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
34848 |
Modular degree for the optimal curve |
Δ |
1541742369177600 = 222 · 311 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-309730,-66449425] |
[a1,a2,a3,a4,a6] |
j |
3286045838843721349921/1541742369177600 |
j-invariant |
L |
2.2261716293238 |
L(r)(E,1)/r! |
Ω |
0.20237923902943 |
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 |
19920q1 79680r1 7470d1 12450f1 |
Quadratic twists by: -4 8 -3 5 |