Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800cu |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-480563200000000 = -1 · 218 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 1 5 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27875,-2078750] |
[a1,a2,a3,a4,a6] |
j |
-1497091545/300352 |
j-invariant |
L |
2.1932061336193 |
L(r)(E,1)/r! |
Ω |
0.18276719946794 |
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 |
12350l1 98800be1 |
Quadratic twists by: -4 5 |