Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024h |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
41239490702957568 = 210 · 36 · 79 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-342232,76552288] |
[a1,a2,a3,a4,a6] |
j |
36795832252708/342314343 |
j-invariant |
L |
2.9114841510498 |
L(r)(E,1)/r! |
Ω |
0.36393551404446 |
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 |
43512j2 12432q2 |
Quadratic twists by: -4 -7 |