Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
112554h |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-738466794 = -1 · 2 · 310 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-675,7047] |
[a1,a2,a3,a4,a6] |
Generators |
[9:36:1] |
Generators of the group modulo torsion |
j |
-276301129/5994 |
j-invariant |
L |
4.1696204828154 |
L(r)(E,1)/r! |
Ω |
1.6010041937666 |
Real period |
R |
0.65109455326144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37518r1 112554q1 |
Quadratic twists by: -3 13 |