Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345f |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-5720012105409984375 = -1 · 32 · 56 · 73 · 179 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,111259,-114132166] |
[a1,a2,a3,a4,a6] |
j |
1284365503/48234375 |
j-invariant |
L |
0.69275139271803 |
L(r)(E,1)/r! |
Ω |
0.11545856545316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035bq1 30345bg1 |
Quadratic twists by: -3 17 |