Atkin-Lehner |
3- 5+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119325p |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
-699169921875 = -1 · 32 · 511 · 37 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 0 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16258,793519] |
[a1,a2,a3,a4,a6] |
j |
-30418077085696/44746875 |
j-invariant |
L |
7.2293366590097 |
L(r)(E,1)/r! |
Ω |
0.90366701027958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23865b1 |
Quadratic twists by: 5 |