Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170o |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-1755881064000 = -1 · 26 · 312 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357399,-82149795] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:41457:1] |
Generators of the group modulo torsion |
j |
-6925591418687384689/2408616000 |
j-invariant |
L |
4.9320442071675 |
L(r)(E,1)/r! |
Ω |
0.097629521269971 |
Real period |
R |
4.2098299631522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390t1 |
Quadratic twists by: -3 |