Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bl |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
1940312685219300 = 22 · 311 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85897614,-306429029588] |
[a1,a2,a3,a4,a6] |
j |
595770186172725915913801/16492385700 |
j-invariant |
L |
2.1820111055884 |
L(r)(E,1)/r! |
Ω |
0.049591161490674 |
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 |
83790fw1 3990h1 |
Quadratic twists by: -3 -7 |