Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bv |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-60242451148800 = -1 · 212 · 315 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-259173,-50699763] |
[a1,a2,a3,a4,a6] |
Generators |
[948217714382438295192083860678836580:17304178560713870581927619366014688437:1244896496947618623120672724963625] |
Generators of the group modulo torsion |
j |
-18801595227320320/588305187 |
j-invariant |
L |
6.1112762724381 |
L(r)(E,1)/r! |
Ω |
0.1057964670256 |
Real period |
R |
57.764464582348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3075l1 49200dz2 |
Quadratic twists by: -4 5 |