Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810g |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-392088822300 = -1 · 22 · 32 · 52 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,857,28897] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-143:1] [-14:127:1] |
Generators of the group modulo torsion |
j |
590589719/3332700 |
j-invariant |
L |
5.1394134725159 |
L(r)(E,1)/r! |
Ω |
0.68561031826976 |
Real period |
R |
0.46850715847298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430fn1 4830m1 |
Quadratic twists by: -3 -7 |