Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372s |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
421200 |
Modular degree for the optimal curve |
Δ |
-17267387902128 = -1 · 24 · 33 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20505,-1140894] |
[a1,a2,a3,a4,a6] |
Generators |
[265:3459:1] |
Generators of the group modulo torsion |
j |
-1490944/27 |
j-invariant |
L |
3.2215385018118 |
L(r)(E,1)/r! |
Ω |
0.19926741256508 |
Real period |
R |
5.388970321748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999521895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372bf1 99372r1 |
Quadratic twists by: -7 13 |