Atkin-Lehner |
2- 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cp |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-3312475158303866880 = -1 · 217 · 314 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 5 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15275976,-22985870220] |
[a1,a2,a3,a4,a6] |
Generators |
[4926:146016:1] |
Generators of the group modulo torsion |
j |
-96247774160455664486089/808709755445280 |
j-invariant |
L |
6.2957806183601 |
L(r)(E,1)/r! |
Ω |
0.038182740495086 |
Real period |
R |
1.4721920605145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999188957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430f1 |
Quadratic twists by: -4 |