Atkin-Lehner |
2- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342be |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
616224 |
Modular degree for the optimal curve |
Δ |
-535157268537472 = -1 · 27 · 710 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 2 4 7- -6 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38466,-3125809] |
[a1,a2,a3,a4,a6] |
Generators |
[3795:231607:1] |
Generators of the group modulo torsion |
j |
-22283073841/1894528 |
j-invariant |
L |
18.231583491606 |
L(r)(E,1)/r! |
Ω |
0.16962709296011 |
Real period |
R |
7.6771696129321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342l1 |
Quadratic twists by: -7 |