Atkin-Lehner |
2+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800bc |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-114526094800000000 = -1 · 210 · 58 · 133 · 194 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 -1 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-741208,-245909088] |
[a1,a2,a3,a4,a6] |
j |
-112586054801380/286315237 |
j-invariant |
L |
1.9522234133963 |
L(r)(E,1)/r! |
Ω |
0.081342651595956 |
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 |
49400i1 98800h1 |
Quadratic twists by: -4 5 |