Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320t |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-41625827100000000 = -1 · 28 · 37 · 58 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91356,-14498100] |
[a1,a2,a3,a4,a6] |
j |
-329381898333928144/162600887109375 |
j-invariant |
L |
3.7563823855514 |
L(r)(E,1)/r! |
Ω |
0.13415651376967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160b1 102960bi1 |
Quadratic twists by: -4 -3 |