Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150ce |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-151347656250 = -1 · 2 · 33 · 510 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1880,36997] |
[a1,a2,a3,a4,a6] |
Generators |
[182:505:8] |
Generators of the group modulo torsion |
j |
-1740992427/358750 |
j-invariant |
L |
11.01135954863 |
L(r)(E,1)/r! |
Ω |
0.98426893855977 |
Real period |
R |
2.7968370803477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150e1 25830f1 |
Quadratic twists by: -3 5 |