Atkin-Lehner |
7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76531c |
Isogeny class |
Conductor |
76531 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-20406603673547 = -1 · 7 · 132 · 297 |
Discriminant |
Eigenvalues |
-2 -3 0 7- 0 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-46255,3835170] |
[a1,a2,a3,a4,a6] |
Generators |
[348:5466:1] |
Generators of the group modulo torsion |
j |
-18399744000/34307 |
j-invariant |
L |
1.4651310842883 |
L(r)(E,1)/r! |
Ω |
0.68352457046703 |
Real period |
R |
0.26793679889457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2639a1 |
Quadratic twists by: 29 |