Atkin-Lehner |
3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159a |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107712 |
Modular degree for the optimal curve |
Δ |
-7505480442213 = -1 · 39 · 136 · 79 |
Discriminant |
Eigenvalues |
1 3+ 0 1 -1 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4278,74933] |
[a1,a2,a3,a4,a6] |
Generators |
[167756:2420993:4913] |
Generators of the group modulo torsion |
j |
91125/79 |
j-invariant |
L |
8.2558561070712 |
L(r)(E,1)/r! |
Ω |
0.48251164129869 |
Real period |
R |
8.5550848385284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120159c1 711b1 |
Quadratic twists by: -3 13 |