Atkin-Lehner |
2- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93002m |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1207594513216 = -1 · 26 · 76 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-932,53605] |
[a1,a2,a3,a4,a6] |
Generators |
[41:273:1] |
Generators of the group modulo torsion |
j |
-761048497/10264384 |
j-invariant |
L |
12.0923116271 |
L(r)(E,1)/r! |
Ω |
0.73263831963675 |
Real period |
R |
1.3754298786681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898b1 |
Quadratic twists by: -7 |