Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cb |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
34554614259375000 = 23 · 33 · 58 · 76 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-196496126,1060096894499] |
[a1,a2,a3,a4,a6] |
j |
7131771986839837165458001/293709375000 |
j-invariant |
L |
4.7471786250525 |
L(r)(E,1)/r! |
Ω |
0.19779910657365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1770h5 |
Quadratic twists by: -7 |