Atkin-Lehner |
3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18135o |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-7901034608653875 = -1 · 311 · 53 · 135 · 312 |
Discriminant |
Eigenvalues |
0 3- 5- -5 -1 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32592,4839255] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:2632:1] [-75:2619:1] |
Generators of the group modulo torsion |
j |
-5252054436020224/10838181904875 |
j-invariant |
L |
5.8286828556587 |
L(r)(E,1)/r! |
Ω |
0.36978787596206 |
Real period |
R |
0.13135194604237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045f1 90675q1 |
Quadratic twists by: -3 5 |