Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
78694j |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-2359621332992 = -1 · 212 · 72 · 115 · 73 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 11- -3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-179,73837] |
[a1,a2,a3,a4,a6] |
Generators |
[246:3749:1] |
Generators of the group modulo torsion |
j |
-13057865737/48155537408 |
j-invariant |
L |
4.2902638970838 |
L(r)(E,1)/r! |
Ω |
0.65613415801072 |
Real period |
R |
0.65386992069848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78694a1 |
Quadratic twists by: -7 |