Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9200o |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-736000 = -1 · 28 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 0 -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[26:15:8] |
Generators of the group modulo torsion |
j |
1024/23 |
j-invariant |
L |
6.3680692397526 |
L(r)(E,1)/r! |
Ω |
1.3817732334999 |
Real period |
R |
2.3043105356813 |
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 |
4600g1 36800ds1 82800bv1 9200n1 |
Quadratic twists by: -4 8 -3 5 |