Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bi |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-899318025675 = -1 · 35 · 52 · 236 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 -2 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,882,-44206] |
[a1,a2,a3,a4,a6] |
Generators |
[84:793:1] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
2.9444955786784 |
L(r)(E,1)/r! |
Ω |
0.43543617404158 |
Real period |
R |
0.67621749276037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025bs1 39675w2 75c1 |
Quadratic twists by: -3 5 -23 |