Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024j |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
23865446008656 = 24 · 33 · 79 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151867,-22727690] |
[a1,a2,a3,a4,a6] |
j |
205782571927552/12678309 |
j-invariant |
L |
0.96737544382777 |
L(r)(E,1)/r! |
Ω |
0.24184386139028 |
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 |
43512k1 12432s1 |
Quadratic twists by: -4 -7 |