Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400h |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-96588800 = -1 · 210 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 11- -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,670] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:28:1] |
Generators of the group modulo torsion |
j |
-6570180/3773 |
j-invariant |
L |
2.9226934392115 |
L(r)(E,1)/r! |
Ω |
1.7600062598027 |
Real period |
R |
0.27676922765974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800e1 123200bx1 15400u1 107800y1 |
Quadratic twists by: -4 8 5 -7 |