Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bt |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
5618340000000 = 28 · 32 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6508,-169012] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:150:1] |
Generators of the group modulo torsion |
j |
7622072656/1404585 |
j-invariant |
L |
8.612245185557 |
L(r)(E,1)/r! |
Ω |
0.53829327044695 |
Real period |
R |
1.9998961682815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600a1 21840g1 |
Quadratic twists by: -4 5 |