Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152n |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-39483260404224 = -1 · 29 · 3 · 711 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 3 13- -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5504,-338904] |
[a1,a2,a3,a4,a6] |
Generators |
[1065790:3416623:10648] |
Generators of the group modulo torsion |
j |
-306182024/655473 |
j-invariant |
L |
7.0922624394941 |
L(r)(E,1)/r! |
Ω |
0.25972959168051 |
Real period |
R |
6.8265829794242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152cf1 122304du1 8736f1 |
Quadratic twists by: -4 8 -7 |