Atkin-Lehner |
5+ 37- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73075b |
Isogeny class |
Conductor |
73075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-976949951171875 = -1 · 512 · 373 · 79 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 1 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6911151,6992587073] |
[a1,a2,a3,a4,a6] |
Generators |
[-9514:935303:8] [1517:-709:1] |
Generators of the group modulo torsion |
j |
-2336440584192970184929/62524796875 |
j-invariant |
L |
8.2431947116552 |
L(r)(E,1)/r! |
Ω |
0.36076598345968 |
Real period |
R |
3.8081910387537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14615a1 |
Quadratic twists by: 5 |