Atkin-Lehner |
2- 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ce |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-219867648 = -1 · 29 · 3 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42,723] |
[a1,a2,a3,a4,a6] |
Generators |
[9:39:1] |
Generators of the group modulo torsion |
j |
48410375/1300992 |
j-invariant |
L |
7.5927017449745 |
L(r)(E,1)/r! |
Ω |
1.3315038749944 |
Real period |
R |
0.31679724816724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078n1 |
Quadratic twists by: 13 |