Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600cg |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-4087096218000000000 = -1 · 210 · 39 · 59 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 4 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1378875,-630756250] |
[a1,a2,a3,a4,a6] |
Generators |
[7450:634500:1] |
Generators of the group modulo torsion |
j |
-198856998932/2803221 |
j-invariant |
L |
7.0150982415684 |
L(r)(E,1)/r! |
Ω |
0.069602404445793 |
Real period |
R |
2.0997533243597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200e1 84600v1 |
Quadratic twists by: -3 5 |