Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850y |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4727451093750 = 2 · 36 · 57 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8250,-272250] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:165:1] |
Generators of the group modulo torsion |
j |
11589205447/882090 |
j-invariant |
L |
3.5324423342174 |
L(r)(E,1)/r! |
Ω |
0.50334490397325 |
Real period |
R |
0.87724200346354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cg2 80850cs2 |
Quadratic twists by: 5 -7 |