Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550u |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-95126937215625000 = -1 · 23 · 33 · 58 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16053492,24761267416] |
[a1,a2,a3,a4,a6] |
Generators |
[2319:-697:1] |
Generators of the group modulo torsion |
j |
-43381890754189517115/9019442936 |
j-invariant |
L |
3.2616352772276 |
L(r)(E,1)/r! |
Ω |
0.26761709143852 |
Real period |
R |
1.0156411800441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550dn1 116550dd1 |
Quadratic twists by: -3 5 |