Atkin-Lehner |
2+ 3+ 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702a |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-83735145840439296 = -1 · 212 · 38 · 73 · 173 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39196,14222800] |
[a1,a2,a3,a4,a6] |
Generators |
[433:8653:1] |
Generators of the group modulo torsion |
j |
-6659877970220609737/83735145840439296 |
j-invariant |
L |
2.4232170543749 |
L(r)(E,1)/r! |
Ω |
0.28980076097649 |
Real period |
R |
4.1808328008005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106bt1 |
Quadratic twists by: -3 |