Atkin-Lehner |
2- 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11362i |
Isogeny class |
Conductor |
11362 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
54601590784 = 211 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 0 5 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2737,52815] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:248:1] |
Generators of the group modulo torsion |
j |
2267556001279633/54601590784 |
j-invariant |
L |
4.5564067157144 |
L(r)(E,1)/r! |
Ω |
1.1168540624734 |
Real period |
R |
0.061813327013131 |
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 |
90896i1 102258j1 |
Quadratic twists by: -4 -3 |