Atkin-Lehner |
2- 3+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
37380c |
Isogeny class |
Conductor |
37380 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
35944626690000 = 24 · 33 · 54 · 75 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150521,-22425330] |
[a1,a2,a3,a4,a6] |
j |
23572079630155300864/2246539168125 |
j-invariant |
L |
1.2119160258368 |
L(r)(E,1)/r! |
Ω |
0.24238320516278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140o1 |
Quadratic twists by: -3 |