Atkin-Lehner |
2+ 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770t |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
105728 |
Modular degree for the optimal curve |
Δ |
-1322793281250 = -1 · 2 · 37 · 57 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,261,-55377] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-831:1] |
Generators of the group modulo torsion |
j |
2691419471/1814531250 |
j-invariant |
L |
3.9682096987488 |
L(r)(E,1)/r! |
Ω |
0.40067466739201 |
Real period |
R |
0.35370784950498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590s1 |
Quadratic twists by: -3 |