Atkin-Lehner |
2+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45248p |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-16694125801472 = -1 · 212 · 79 · 101 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 2 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10297,451097] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1372:1] |
Generators of the group modulo torsion |
j |
-29480719492288/4075714307 |
j-invariant |
L |
5.4941698884588 |
L(r)(E,1)/r! |
Ω |
0.67228562075565 |
Real period |
R |
0.45402080759533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248f1 22624g1 |
Quadratic twists by: -4 8 |