Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320j |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3458707257600 = 28 · 38 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3783,-3782] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:270:1] |
Generators of the group modulo torsion |
j |
32082281296/18533025 |
j-invariant |
L |
5.1373162238236 |
L(r)(E,1)/r! |
Ω |
0.66502767158762 |
Real period |
R |
1.9312415231356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019868 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440bc2 |
Quadratic twists by: -3 |