Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800g |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
1982792500000000 = 28 · 510 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130833,-18132037] |
[a1,a2,a3,a4,a6] |
j |
99069260800/793117 |
j-invariant |
L |
2.0091835202167 |
L(r)(E,1)/r! |
Ω |
0.2511479443335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400m1 98800bb1 |
Quadratic twists by: -4 5 |