Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38325k |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
92018325 = 3 · 52 · 75 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -5 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-525063,-146617021] |
[a1,a2,a3,a4,a6] |
Generators |
[-429831134090939639611:-532247702013610862:1026611630394053257] |
Generators of the group modulo torsion |
j |
640352010539722178560/3680733 |
j-invariant |
L |
4.9610613276324 |
L(r)(E,1)/r! |
Ω |
0.17735630485145 |
Real period |
R |
27.97228625048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975p1 38325f1 |
Quadratic twists by: -3 5 |