Atkin-Lehner |
2+ 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
19920c |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
8067600000000 = 210 · 35 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5056,-20144] |
[a1,a2,a3,a4,a6] |
j |
13961460287236/7878515625 |
j-invariant |
L |
1.2198434102099 |
L(r)(E,1)/r! |
Ω |
0.60992170510498 |
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 |
9960d1 79680bz1 59760n1 99600w1 |
Quadratic twists by: -4 8 -3 5 |