Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5070o |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-3181349811900 = -1 · 22 · 3 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7186,246683] |
[a1,a2,a3,a4,a6] |
Generators |
[61:169:1] |
Generators of the group modulo torsion |
j |
-3869893/300 |
j-invariant |
L |
4.6760836850099 |
L(r)(E,1)/r! |
Ω |
0.78217852099401 |
Real period |
R |
2.9891409438522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560cm1 15210w1 25350bj1 5070g1 |
Quadratic twists by: -4 -3 5 13 |