Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ba |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
5649504980000000000 = 211 · 510 · 710 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-500208,-74086412] |
[a1,a2,a3,a4,a6] |
j |
2450 |
j-invariant |
L |
0.37209377481423 |
L(r)(E,1)/r! |
Ω |
0.18604688740712 |
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 |
9800bj1 78400if1 19600bm1 19600d1 |
Quadratic twists by: -4 8 5 -7 |