Atkin-Lehner |
2+ 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254l |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-485271065664 = -1 · 26 · 33 · 77 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,-35244] |
[a1,a2,a3,a4,a6] |
Generators |
[41:4:1] [76:550:1] |
Generators of the group modulo torsion |
j |
-594823321/4124736 |
j-invariant |
L |
7.1270610555181 |
L(r)(E,1)/r! |
Ω |
0.39152716054518 |
Real period |
R |
2.2754044203572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14322e1 |
Quadratic twists by: -7 |