Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488gm |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1185299798065152 = 215 · 3 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51809,4243233] |
[a1,a2,a3,a4,a6] |
j |
3989418056/307461 |
j-invariant |
L |
1.9050269101903 |
L(r)(E,1)/r! |
Ω |
0.47625676794862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488hw3 51744bn3 14784cf3 |
Quadratic twists by: -4 8 -7 |