Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200i |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
10536115601250000 = 24 · 34 · 57 · 1014 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88383,8855262] |
[a1,a2,a3,a4,a6] |
Generators |
[2346:22725:8] [2082:94050:1] |
Generators of the group modulo torsion |
j |
305418144004096/42144462405 |
j-invariant |
L |
9.4778220891304 |
L(r)(E,1)/r! |
Ω |
0.3902517481041 |
Real period |
R |
3.0358038557692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600bd1 24240n1 |
Quadratic twists by: -4 5 |