Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3762b |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-1365606 = -1 · 2 · 33 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 11- -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186,1026] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:24:1] |
Generators of the group modulo torsion |
j |
-26436959739/50578 |
j-invariant |
L |
1.8053981956005 |
L(r)(E,1)/r! |
Ω |
2.7083698482998 |
Real period |
R |
0.99989936570177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30096l1 120384b1 3762l2 94050cm1 |
Quadratic twists by: -4 8 -3 5 |