Atkin-Lehner |
2- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9430g |
Isogeny class |
Conductor |
9430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-79104573440 = -1 · 224 · 5 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 0 -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1069,-1375] |
[a1,a2,a3,a4,a6] |
j |
135092561393231/79104573440 |
j-invariant |
L |
1.7032162342394 |
L(r)(E,1)/r! |
Ω |
0.63870608783977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75440s1 84870u1 47150b1 |
Quadratic twists by: -4 -3 5 |