Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525q |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-2.9971661132705E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 2 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,280117,-257236582] |
[a1,a2,a3,a4,a6] |
Generators |
[17288656:1971835835:1331] |
Generators of the group modulo torsion |
j |
550731776/6790635 |
j-invariant |
L |
4.745658705742 |
L(r)(E,1)/r! |
Ω |
0.10271690493283 |
Real period |
R |
11.55033513845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905y1 84525bn1 |
Quadratic twists by: 5 -7 |