Atkin-Lehner |
3+ 5+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185b |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3673215 = -1 · 33 · 5 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] [5:13:1] |
Generators of the group modulo torsion |
j |
212776173/136045 |
j-invariant |
L |
6.0427646192229 |
L(r)(E,1)/r! |
Ω |
1.4281459069074 |
Real period |
R |
4.2311955593284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185h1 |
Quadratic twists by: -3 |