Atkin-Lehner |
2+ 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130p |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
-4095507420 = -1 · 22 · 38 · 5 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,360,1516] |
[a1,a2,a3,a4,a6] |
Generators |
[5:56:1] |
Generators of the group modulo torsion |
j |
7066834559/5617980 |
j-invariant |
L |
3.7003045176008 |
L(r)(E,1)/r! |
Ω |
0.89386013464487 |
Real period |
R |
2.0698453476367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710x1 |
Quadratic twists by: -3 |