Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448y |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-10899411080709888 = -1 · 28 · 310 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22788,-5202144] |
[a1,a2,a3,a4,a6] |
Generators |
[315:4356:1] |
Generators of the group modulo torsion |
j |
-2885794000/24032943 |
j-invariant |
L |
9.0956271265372 |
L(r)(E,1)/r! |
Ω |
0.17080155904872 |
Real period |
R |
1.3313149993891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768i1 |
Quadratic twists by: -11 |