Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485g |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5738673336547725 = -1 · 39 · 52 · 79 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32992,2813752] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1003:1] |
Generators of the group modulo torsion |
j |
5000211/7225 |
j-invariant |
L |
3.6959287477969 |
L(r)(E,1)/r! |
Ω |
0.28924277619492 |
Real period |
R |
3.194486649259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485l2 37485m2 |
Quadratic twists by: -3 -7 |