Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680dc |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-29319319866470400 = -1 · 212 · 33 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19773,-8168446] |
[a1,a2,a3,a4,a6] |
j |
729/25 |
j-invariant |
L |
1.435473292412 |
L(r)(E,1)/r! |
Ω |
0.17943404852473 |
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 |
7605g1 121680cp1 121680co1 |
Quadratic twists by: -4 -3 13 |