Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39975u |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-40015299796875 = -1 · 37 · 56 · 134 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -1 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6792,217244] |
[a1,a2,a3,a4,a6] |
Generators |
[3:487:1] |
Generators of the group modulo torsion |
j |
2217342464000/2560979187 |
j-invariant |
L |
4.0606585376078 |
L(r)(E,1)/r! |
Ω |
0.43056672000768 |
Real period |
R |
0.16841004246422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925bl1 1599b1 |
Quadratic twists by: -3 5 |