Atkin-Lehner |
2+ 3+ 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390d |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-8571946500 = -1 · 22 · 39 · 53 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1014,-12952] |
[a1,a2,a3,a4,a6] |
Generators |
[52:244:1] |
Generators of the group modulo torsion |
j |
-5861208627/435500 |
j-invariant |
L |
5.9964745100951 |
L(r)(E,1)/r! |
Ω |
0.42120059484277 |
Real period |
R |
1.1863853358316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78390bf1 |
Quadratic twists by: -3 |