Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650g |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-432854200800 = -1 · 25 · 32 · 52 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3920,-101280] |
[a1,a2,a3,a4,a6] |
Generators |
[89:470:1] |
Generators of the group modulo torsion |
j |
-266572289169265/17314168032 |
j-invariant |
L |
4.0015430820802 |
L(r)(E,1)/r! |
Ω |
0.30054307020943 |
Real period |
R |
0.95102677216712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650dc1 |
Quadratic twists by: 5 |