Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6975m |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-1103466796875 = -1 · 36 · 511 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -2 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2175,-32094] |
[a1,a2,a3,a4,a6] |
Generators |
[15:62:1] |
Generators of the group modulo torsion |
j |
99897344/96875 |
j-invariant |
L |
2.246557097889 |
L(r)(E,1)/r! |
Ω |
0.47499632176459 |
Real period |
R |
2.3648152574562 |
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 |
111600dy1 775c1 1395c1 |
Quadratic twists by: -4 -3 5 |