Atkin-Lehner |
2- 3+ 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970n |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-38304060 = -1 · 22 · 3 · 5 · 172 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,59,-217] |
[a1,a2,a3,a4,a6] |
j |
22689222191/38304060 |
j-invariant |
L |
2.1557165471335 |
L(r)(E,1)/r! |
Ω |
1.0778582735668 |
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 |
71910t1 119850bf1 |
Quadratic twists by: -3 5 |