Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296be |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
205660892408832 = 210 · 37 · 72 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32331,-2128534] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:126:1] [-85:74:1] |
Generators of the group modulo torsion |
j |
5006723869732/275501667 |
j-invariant |
L |
7.9935873034142 |
L(r)(E,1)/r! |
Ω |
0.35725750540162 |
Real period |
R |
2.7968577225647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648bb3 12432f3 |
Quadratic twists by: -4 -3 |