Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030j |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-12479756500820 = -1 · 22 · 5 · 710 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6053,-248972] |
[a1,a2,a3,a4,a6] |
Generators |
[97:232:1] |
Generators of the group modulo torsion |
j |
-86806489/44180 |
j-invariant |
L |
4.8979017263158 |
L(r)(E,1)/r! |
Ω |
0.26427916976196 |
Real period |
R |
4.6332650154829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150ci1 23030a1 |
Quadratic twists by: 5 -7 |