Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240v |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-1.9471533714649E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7419999,-19756174815] |
[a1,a2,a3,a4,a6] |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
0.20353932291837 |
L(r)(E,1)/r! |
Ω |
0.050884834173304 |
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 |
114240id1 1785n1 |
Quadratic twists by: -4 8 |