Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400fq |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
1369403639493120000 = 212 · 310 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5499733,4965843037] |
[a1,a2,a3,a4,a6] |
Generators |
[10634:11907:8] |
Generators of the group modulo torsion |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
5.8610462144559 |
L(r)(E,1)/r! |
Ω |
0.25753209536881 |
Real period |
R |
1.6256077019821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5775w1 92400gl1 |
Quadratic twists by: -4 5 |