Atkin-Lehner |
2+ 3+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702f |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-32450927394816 = -1 · 225 · 33 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7488,-110592] |
[a1,a2,a3,a4,a6] |
j |
46422721079998199/32450927394816 |
j-invariant |
L |
0.74203944750433 |
L(r)(E,1)/r! |
Ω |
0.37101972375209 |
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 |
92106cf1 |
Quadratic twists by: -3 |