Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496w |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-32736585321216 = -1 · 28 · 37 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3029980,2029045136] |
[a1,a2,a3,a4,a6] |
Generators |
[1010:294:1] |
Generators of the group modulo torsion |
j |
-102144487949235664/1086939 |
j-invariant |
L |
7.2851821623807 |
L(r)(E,1)/r! |
Ω |
0.46015186663304 |
Real period |
R |
0.28271652900964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11928f1 |
Quadratic twists by: -7 |