Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
84280g |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109536 |
Modular degree for the optimal curve |
Δ |
-2633750000 = -1 · 24 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -1 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47803,4022823] |
[a1,a2,a3,a4,a6] |
Generators |
[127:15:1] |
Generators of the group modulo torsion |
j |
-15408952189214976/3359375 |
j-invariant |
L |
4.5229169478194 |
L(r)(E,1)/r! |
Ω |
1.1431857434987 |
Real period |
R |
1.9782073771004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280i1 |
Quadratic twists by: -7 |