Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39039r |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-99297297099 = -1 · 32 · 73 · 114 · 133 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11- 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-316,15420] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:115:1] [-214:503:8] |
Generators of the group modulo torsion |
j |
-1593413632/45196767 |
j-invariant |
L |
3.9071551407782 |
L(r)(E,1)/r! |
Ω |
0.89000881160703 |
Real period |
R |
0.091458718578112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117bo1 39039f1 |
Quadratic twists by: -3 13 |