Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856d |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-8022300512751616 = -1 · 212 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 0 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32223,-3700399] |
[a1,a2,a3,a4,a6] |
Generators |
[2141:99372:1] |
Generators of the group modulo torsion |
j |
1107392/2401 |
j-invariant |
L |
5.8772683281246 |
L(r)(E,1)/r! |
Ω |
0.21565594912883 |
Real period |
R |
1.1355410380646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37856t1 75712o1 37856r1 |
Quadratic twists by: -4 8 13 |