Atkin-Lehner |
3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775z |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
98784 |
Modular degree for the optimal curve |
Δ |
-252930643875 = -1 · 33 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -1 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32013,2215478] |
[a1,a2,a3,a4,a6] |
Generators |
[82:367:1] |
Generators of the group modulo torsion |
j |
-5035261952/351 |
j-invariant |
L |
3.6627158526832 |
L(r)(E,1)/r! |
Ω |
0.93608636881048 |
Real period |
R |
0.65213281856864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775cv1 47775de1 |
Quadratic twists by: 5 -7 |