Atkin-Lehner |
2+ 3- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582h |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-6354884484808704 = -1 · 214 · 39 · 132 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -4 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50670,-5816876] |
[a1,a2,a3,a4,a6] |
Generators |
[275:857:1] [300:2282:1] |
Generators of the group modulo torsion |
j |
-19735753759607521/8717262667776 |
j-invariant |
L |
7.0109441996432 |
L(r)(E,1)/r! |
Ω |
0.15576740983716 |
Real period |
R |
1.8753773673995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25194p1 |
Quadratic twists by: -3 |