Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720i |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-1953640000 = -1 · 26 · 54 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,277,1172] |
[a1,a2,a3,a4,a6] |
j |
36726796224/30525625 |
j-invariant |
L |
1.9111298089902 |
L(r)(E,1)/r! |
Ω |
0.95556490761254 |
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 |
70720j1 35360j2 |
Quadratic twists by: -4 8 |