Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280h |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-5152896000 = -1 · 210 · 34 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 -6 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,160,3312] |
[a1,a2,a3,a4,a6] |
Generators |
[14:90:1] |
Generators of the group modulo torsion |
j |
439608956/5032125 |
j-invariant |
L |
6.2928016364199 |
L(r)(E,1)/r! |
Ω |
1.0045187372331 |
Real period |
R |
0.52204116951433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59640q1 |
Quadratic twists by: -4 |