Atkin-Lehner |
3- 11+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
30459a |
Isogeny class |
Conductor |
30459 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
336672 |
Modular degree for the optimal curve |
Δ |
-42909321599125839 = -1 · 37 · 116 · 133 · 712 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11+ 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,68600,7182041] |
[a1,a2,a3,a4,a6] |
j |
35703036982674645767/42909321599125839 |
j-invariant |
L |
1.6901685952138 |
L(r)(E,1)/r! |
Ω |
0.24145265645914 |
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 |
91377f1 |
Quadratic twists by: -3 |