Atkin-Lehner |
2- 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518bo |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
987199578064224 = 25 · 37 · 72 · 194 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-222611,40453971] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:8238:1] [29995:97458:125] |
Generators of the group modulo torsion |
j |
1673532753316463593/1354183234656 |
j-invariant |
L |
15.771884930906 |
L(r)(E,1)/r! |
Ω |
0.49069104571615 |
Real period |
R |
0.40177737777283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506f2 |
Quadratic twists by: -3 |