Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600m |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
508455448200000000 = 29 · 32 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2960008,-1958854988] |
[a1,a2,a3,a4,a6] |
j |
3047363673992/540225 |
j-invariant |
L |
0.92081252529329 |
L(r)(E,1)/r! |
Ω |
0.11510148881184 |
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 |
117600cp4 23520bw4 16800n3 |
Quadratic twists by: -4 5 -7 |