Atkin-Lehner |
2+ 7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93002d |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-4.0801796453191E+19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 3 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-811906,416480436] |
[a1,a2,a3,a4,a6] |
Generators |
[405:12219:1] |
Generators of the group modulo torsion |
j |
-503099123175337753/346809547494592 |
j-invariant |
L |
6.1925597153747 |
L(r)(E,1)/r! |
Ω |
0.18796158747684 |
Real period |
R |
0.45758165186607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286a1 |
Quadratic twists by: -7 |