Atkin-Lehner |
2- 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050cw |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-148439949218750 = -1 · 2 · 59 · 76 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14263,873531] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:11631:8] |
Generators of the group modulo torsion |
j |
-164296466333/76001254 |
j-invariant |
L |
10.353013847369 |
L(r)(E,1)/r! |
Ω |
0.54080756744063 |
Real period |
R |
1.5953015548854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050ba1 |
Quadratic twists by: 5 |