Atkin-Lehner |
2- 3- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526be |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-4239100801152 = -1 · 27 · 37 · 75 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3560,129323] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-263:1] |
Generators of the group modulo torsion |
j |
-6842767821625/5814953088 |
j-invariant |
L |
10.897800146172 |
L(r)(E,1)/r! |
Ω |
0.71283822836294 |
Real period |
R |
0.10919929134288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37842k1 |
Quadratic twists by: -3 |