Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1520d |
Isogeny class |
Conductor |
1520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-7600 = -1 · 24 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 4 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
702464/475 |
j-invariant |
L |
2.0343150149606 |
L(r)(E,1)/r! |
Ω |
2.3665666032288 |
Real period |
R |
1.719212138112 |
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 |
760a1 6080m1 13680s1 7600d1 |
Quadratic twists by: -4 8 -3 5 |