Atkin-Lehner |
3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
45423j |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-9090093866427 = -1 · 37 · 79 · 103 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -5 -2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5145,29412] |
[a1,a2,a3,a4,a6] |
Generators |
[0:171:1] |
Generators of the group modulo torsion |
j |
512000/309 |
j-invariant |
L |
2.5011989113177 |
L(r)(E,1)/r! |
Ω |
0.44834021128232 |
Real period |
R |
1.3946991862239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15141j1 45423l1 |
Quadratic twists by: -3 -7 |