Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bs |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
22134882869541225 = 312 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149949,-21134520] |
[a1,a2,a3,a4,a6] |
Generators |
[-115960:611925:512] |
Generators of the group modulo torsion |
j |
4347507044161/258084225 |
j-invariant |
L |
6.1034960871473 |
L(r)(E,1)/r! |
Ω |
0.2435129457521 |
Real period |
R |
6.2660899488276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495k2 5355g2 |
Quadratic twists by: -3 -7 |