Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240c |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-16602894000 = -1 · 24 · 34 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71,-6180] |
[a1,a2,a3,a4,a6] |
Generators |
[31:143:1] |
Generators of the group modulo torsion |
j |
-2508888064/1037680875 |
j-invariant |
L |
3.6122514919019 |
L(r)(E,1)/r! |
Ω |
0.55435597873086 |
Real period |
R |
1.6290306366731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480r1 73920dm1 27720bq1 46200cq1 |
Quadratic twists by: -4 8 -3 5 |