Atkin-Lehner |
2+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118720g |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55040 |
Modular degree for the optimal curve |
Δ |
-6292160 = -1 · 26 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 -5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178,922] |
[a1,a2,a3,a4,a6] |
Generators |
[9:7:1] [17:53:1] |
Generators of the group modulo torsion |
j |
-9745491456/98315 |
j-invariant |
L |
6.9314512418353 |
L(r)(E,1)/r! |
Ω |
2.3932553330844 |
Real period |
R |
1.4481219683063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999922441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720a1 59360e1 |
Quadratic twists by: -4 8 |