Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
12450q |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-672300 = -1 · 22 · 34 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
-9765625/26892 |
j-invariant |
L |
5.5562000043188 |
L(r)(E,1)/r! |
Ω |
1.1658315778417 |
Real period |
R |
1.191467127397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600cx1 37350l1 12450k1 |
Quadratic twists by: -4 -3 5 |