Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370dq |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-19856771304652800 = -1 · 227 · 35 · 52 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-671700,211942800] |
[a1,a2,a3,a4,a6] |
Generators |
[1320:-40980:1] |
Generators of the group modulo torsion |
j |
-97713749255538496807/57891461529600 |
j-invariant |
L |
13.541842605873 |
L(r)(E,1)/r! |
Ω |
0.38057662166046 |
Real period |
R |
0.065893396597783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370ce1 |
Quadratic twists by: -7 |