Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600cj |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1240000000000 = -1 · 212 · 510 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -6 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,-54137] |
[a1,a2,a3,a4,a6] |
Generators |
[63:400:1] |
Generators of the group modulo torsion |
j |
-438976/19375 |
j-invariant |
L |
2.7954192578358 |
L(r)(E,1)/r! |
Ω |
0.37746013171406 |
Real period |
R |
1.8514665675974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600br1 24800e1 9920bi1 |
Quadratic twists by: -4 8 5 |