Atkin-Lehner |
2+ 7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93002f |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
76591146086 = 2 · 79 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 3 13- 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1937,-30138] |
[a1,a2,a3,a4,a6] |
Generators |
[-1900:3319:64] |
Generators of the group modulo torsion |
j |
19902511/1898 |
j-invariant |
L |
4.772893808948 |
L(r)(E,1)/r! |
Ω |
0.72409288725114 |
Real period |
R |
3.2957745516441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93002b1 |
Quadratic twists by: -7 |