Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3038d |
Isogeny class |
Conductor |
3038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
1633909312 = 26 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-352,1728] |
[a1,a2,a3,a4,a6] |
Generators |
[23:62:1] |
Generators of the group modulo torsion |
j |
41063625/13888 |
j-invariant |
L |
2.4114880741474 |
L(r)(E,1)/r! |
Ω |
1.3797056824882 |
Real period |
R |
0.87391394583463 |
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 |
24304l1 97216o1 27342bm1 75950cm1 |
Quadratic twists by: -4 8 -3 5 |