Atkin-Lehner |
2+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030a |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-106076180 = -1 · 22 · 5 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123,673] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:39:1] [1:23:1] |
Generators of the group modulo torsion |
j |
-86806489/44180 |
j-invariant |
L |
4.6082556705205 |
L(r)(E,1)/r! |
Ω |
1.753272912871 |
Real period |
R |
0.21903110637115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bi1 23030j1 |
Quadratic twists by: 5 -7 |