Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bn |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50927991030 = 2 · 312 · 5 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3173,-67129] |
[a1,a2,a3,a4,a6] |
Generators |
[566:1653:8] |
Generators of the group modulo torsion |
j |
4844824797961/69860070 |
j-invariant |
L |
7.6660850558774 |
L(r)(E,1)/r! |
Ω |
0.63668108382773 |
Real period |
R |
6.0203493166381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770l2 116550bd2 |
Quadratic twists by: -3 5 |