Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930ci |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1190750247540 = -1 · 22 · 311 · 5 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 5 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1889,42713] |
[a1,a2,a3,a4,a6] |
j |
15212799330239/24301025460 |
j-invariant |
L |
3.5408340312847 |
L(r)(E,1)/r! |
Ω |
0.59013900521424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790cm1 27930dh1 |
Quadratic twists by: -3 -7 |