Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650m |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-46473750000000 = -1 · 27 · 37 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5508,286416] |
[a1,a2,a3,a4,a6] |
j |
2595575/6528 |
j-invariant |
L |
0.89146118662402 |
L(r)(E,1)/r! |
Ω |
0.44573059331201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200em1 2550bc1 7650cn1 |
Quadratic twists by: -4 -3 5 |