Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800cz |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
123871424135680000 = 212 · 54 · 135 · 194 |
Discriminant |
Eigenvalues |
2- 3 5- 4 2 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126400,3527600] |
[a1,a2,a3,a4,a6] |
j |
87241870540800/48387275053 |
j-invariant |
L |
8.596165498788 |
L(r)(E,1)/r! |
Ω |
0.28653886179915 |
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 |
6175i1 98800bo1 |
Quadratic twists by: -4 5 |