Atkin-Lehner |
3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715bb |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-16176319874671875 = -1 · 3 · 56 · 177 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- -2 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,56782,-3208069] |
[a1,a2,a3,a4,a6] |
Generators |
[29230:1755981:8] |
Generators of the group modulo torsion |
j |
838828609991/670171875 |
j-invariant |
L |
9.7535073057405 |
L(r)(E,1)/r! |
Ω |
0.21747929527252 |
Real period |
R |
7.4746635443722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999441893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395b2 |
Quadratic twists by: 17 |