Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240km |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-8022732480 = -1 · 26 · 36 · 5 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-565,6545] |
[a1,a2,a3,a4,a6] |
Generators |
[8:51:1] |
Generators of the group modulo torsion |
j |
-312217698304/125355195 |
j-invariant |
L |
8.0211240634151 |
L(r)(E,1)/r! |
Ω |
1.2320546447246 |
Real period |
R |
0.36168688246251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240cp1 28560cm1 |
Quadratic twists by: -4 8 |