Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150cl |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-11298042000000 = -1 · 27 · 39 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3670,136297] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1295:1] |
Generators of the group modulo torsion |
j |
17779581/36736 |
j-invariant |
L |
11.228544546024 |
L(r)(E,1)/r! |
Ω |
0.49650931283848 |
Real period |
R |
0.80767759007459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150l1 5166c1 |
Quadratic twists by: -3 5 |