Atkin-Lehner |
3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105be |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
317413504883475 = 34 · 52 · 77 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595645,-177187480] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:249:1] [10534:285789:8] |
Generators of the group modulo torsion |
j |
198654322502559169/2697970275 |
j-invariant |
L |
6.75807927294 |
L(r)(E,1)/r! |
Ω |
0.17185138224928 |
Real period |
R |
9.8312844310492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015l4 |
Quadratic twists by: -7 |