Atkin-Lehner |
2+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3538a |
Isogeny class |
Conductor |
3538 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
28304 = 24 · 29 · 61 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
6158676537/28304 |
j-invariant |
L |
1.9583991816258 |
L(r)(E,1)/r! |
Ω |
3.7566715236572 |
Real period |
R |
1.0426246581811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28304a1 113216f1 31842bb1 88450k1 |
Quadratic twists by: -4 8 -3 5 |