Atkin-Lehner |
3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31977t |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-23311233 = -1 · 38 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- -4 0 11- -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70142,-7132570] |
[a1,a2,a3,a4,a6] |
j |
-52350979780066969/31977 |
j-invariant |
L |
0.29336311075247 |
L(r)(E,1)/r! |
Ω |
0.14668155537617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659i1 |
Quadratic twists by: -3 |