Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800bd |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-30490175520000000 = -1 · 211 · 34 · 57 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26592,8224812] |
[a1,a2,a3,a4,a6] |
Generators |
[57:3150:1] |
Generators of the group modulo torsion |
j |
64984593742/952817985 |
j-invariant |
L |
5.9789197936199 |
L(r)(E,1)/r! |
Ω |
0.27559410851804 |
Real period |
R |
1.8078881250018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960d1 |
Quadratic twists by: 5 |