Atkin-Lehner |
2- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
115700b |
Isogeny class |
Conductor |
115700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3744000 |
Modular degree for the optimal curve |
Δ |
7259277283700000000 = 28 · 58 · 13 · 895 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -6 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549533,-2571895937] |
[a1,a2,a3,a4,a6] |
Generators |
[-29229:48050:27] |
Generators of the group modulo torsion |
j |
1236452672634118144/1814819320925 |
j-invariant |
L |
3.8159429423573 |
L(r)(E,1)/r! |
Ω |
0.11000059188817 |
Real period |
R |
5.7817006000129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23140a1 |
Quadratic twists by: 5 |