Atkin-Lehner |
3- 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
35805l |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-92513639295 = -1 · 36 · 5 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,329,14480] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-145:1] [-98:793:8] |
Generators of the group modulo torsion |
j |
3937575558671/92513639295 |
j-invariant |
L |
6.2858477315283 |
L(r)(E,1)/r! |
Ω |
0.80267279232365 |
Real period |
R |
1.3051909801942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107415r1 |
Quadratic twists by: -3 |