Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290br |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-583582664249200 = -1 · 24 · 52 · 77 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13711,-987827] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1159:1] [1542:22945:8] |
Generators of the group modulo torsion |
j |
1367631/2800 |
j-invariant |
L |
7.6902425363582 |
L(r)(E,1)/r! |
Ω |
0.26901632746305 |
Real period |
R |
3.5733158879575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470h1 490h1 |
Quadratic twists by: -7 -11 |