Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30345ba |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
183600 |
Modular degree for the optimal curve |
Δ |
-1483220425892625 = -1 · 35 · 53 · 7 · 178 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -3 7 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25281,-1017449] |
[a1,a2,a3,a4,a6] |
j |
256176791/212625 |
j-invariant |
L |
3.9650602155174 |
L(r)(E,1)/r! |
Ω |
0.2643373477013 |
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 |
91035bw1 30345l1 |
Quadratic twists by: -3 17 |