Atkin-Lehner |
2- 3+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742i |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
81125760776256 = 26 · 36 · 74 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23797,-1354789] |
[a1,a2,a3,a4,a6] |
j |
1490361024744848593/81125760776256 |
j-invariant |
L |
2.3141427361965 |
L(r)(E,1)/r! |
Ω |
0.38569045602856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107226k2 |
Quadratic twists by: -3 |