Atkin-Lehner |
5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675p |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-73046875 = -1 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
1 -2 5- -3 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110576,-14161827] |
[a1,a2,a3,a4,a6] |
Generators |
[7927:701186:1] |
Generators of the group modulo torsion |
j |
-382772438090905/187 |
j-invariant |
L |
2.6924662421415 |
L(r)(E,1)/r! |
Ω |
0.13090457064719 |
Real period |
R |
6.8560535582776 |
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 |
74800dm1 42075cg1 4675c1 51425be1 |
Quadratic twists by: -4 -3 5 -11 |