Atkin-Lehner |
2+ 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048f |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
1211695137792 = 210 · 38 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36904,-2740540] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:18:1] |
Generators of the group modulo torsion |
j |
5428200096948388/1183296033 |
j-invariant |
L |
5.616185793659 |
L(r)(E,1)/r! |
Ω |
0.34445769785801 |
Real period |
R |
1.0190267606605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42024g1 |
Quadratic twists by: -4 |