Atkin-Lehner |
3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
13275r |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-3.9510079752217E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 0 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-271875,307303906] |
[a1,a2,a3,a4,a6] |
Generators |
[3364:193549:1] |
Generators of the group modulo torsion |
j |
-312179200000/5549838363 |
j-invariant |
L |
2.1010246986348 |
L(r)(E,1)/r! |
Ω |
0.17231063167915 |
Real period |
R |
1.5241548636324 |
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 |
4425b1 13275bb1 |
Quadratic twists by: -3 5 |