Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bl |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
12946728960000 = 214 · 35 · 54 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-421176,105066324] |
[a1,a2,a3,a4,a6] |
Generators |
[390:-528:1] [-348:14478:1] |
Generators of the group modulo torsion |
j |
2017231040668584889/3160822500 |
j-invariant |
L |
12.658335368295 |
L(r)(E,1)/r! |
Ω |
0.60470918904309 |
Real period |
R |
1.0466465202902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190a1 |
Quadratic twists by: -4 |