Atkin-Lehner |
2+ 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954v |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-123115734 = -1 · 2 · 33 · 73 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -6 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54,550] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:15:1] [-50:225:8] |
Generators of the group modulo torsion |
j |
-49430863/358938 |
j-invariant |
L |
9.2675088843948 |
L(r)(E,1)/r! |
Ω |
1.5976130036151 |
Real period |
R |
0.48340393148468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954l1 |
Quadratic twists by: -7 |