Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080a |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-29019340800000 = -1 · 223 · 33 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -4 0 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1373388,-619495312] |
[a1,a2,a3,a4,a6] |
Generators |
[1653756167797:235634858427687:81182737] |
Generators of the group modulo torsion |
j |
-40476203551642923/4100000 |
j-invariant |
L |
6.0098277171678 |
L(r)(E,1)/r! |
Ω |
0.06973025353395 |
Real period |
R |
21.546701082342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080db1 3690b1 118080q1 |
Quadratic twists by: -4 8 -3 |