Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cr |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
4500146939416128 = 26 · 33 · 73 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-428841,-108222249] |
[a1,a2,a3,a4,a6] |
j |
1806976738085401/932323392 |
j-invariant |
L |
6.7164753625643 |
L(r)(E,1)/r! |
Ω |
0.18656875929639 |
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 |
6006c1 |
Quadratic twists by: 13 |