Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4810d |
Isogeny class |
Conductor |
4810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
962461760 = 26 · 5 · 133 · 372 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-327,1589] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
3885442650361/962461760 |
j-invariant |
L |
4.0071026792283 |
L(r)(E,1)/r! |
Ω |
1.4693860924649 |
Real period |
R |
2.7270590757439 |
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 |
38480t1 43290bh1 24050s1 62530m1 |
Quadratic twists by: -4 -3 5 13 |