Atkin-Lehner |
2- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40256w |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-309027738484736 = -1 · 218 · 17 · 375 |
Discriminant |
Eigenvalues |
2- 0 -3 1 -5 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10924,-953136] |
[a1,a2,a3,a4,a6] |
Generators |
[410:7968:1] |
Generators of the group modulo torsion |
j |
-549957165057/1178847269 |
j-invariant |
L |
3.5866464270861 |
L(r)(E,1)/r! |
Ω |
0.21881688999588 |
Real period |
R |
4.0977714599091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256i1 10064h1 |
Quadratic twists by: -4 8 |