Atkin-Lehner |
2- 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050co |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-61499200000000 = -1 · 212 · 58 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 -7 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6737,-310983] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-3:1] [52:399:1] |
Generators of the group modulo torsion |
j |
86568380015/157437952 |
j-invariant |
L |
11.482185602981 |
L(r)(E,1)/r! |
Ω |
0.32639647262914 |
Real period |
R |
0.48859228999001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050q1 |
Quadratic twists by: 5 |