Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245d |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-83937271449756015 = -1 · 39 · 5 · 318 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65048,15348386] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:4351:1] |
Generators of the group modulo torsion |
j |
-47045881/129735 |
j-invariant |
L |
1.7774632252066 |
L(r)(E,1)/r! |
Ω |
0.30103391091809 |
Real period |
R |
1.4761320575102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14415f1 1395b1 |
Quadratic twists by: -3 -31 |