Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bb |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
71728826872500 = 22 · 37 · 54 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10449,-52007] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:341:1] |
Generators of the group modulo torsion |
j |
173078750185489/98393452500 |
j-invariant |
L |
4.1989486030207 |
L(r)(E,1)/r! |
Ω |
0.51017651659226 |
Real period |
R |
0.51439899555105 |
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 |
7770p4 116550ec3 |
Quadratic twists by: -3 5 |