Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cd |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-5450017996800000 = -1 · 219 · 39 · 55 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60723,6766578] |
[a1,a2,a3,a4,a6] |
j |
-1817378667/400000 |
j-invariant |
L |
1.6392856453158 |
L(r)(E,1)/r! |
Ω |
0.40982158379271 |
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 |
15210a1 121680cr1 121680cq1 |
Quadratic twists by: -4 -3 13 |