Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120s |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-71431756195840000 = -1 · 214 · 54 · 178 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,57704,-11680620] |
[a1,a2,a3,a4,a6] |
Generators |
[436:9826:1] [9172:878750:1] |
Generators of the group modulo torsion |
j |
214921799/722500 |
j-invariant |
L |
4.9527076309098 |
L(r)(E,1)/r! |
Ω |
0.17648850431916 |
Real period |
R |
7.0156235529541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2890c2 92480eb2 115600bu2 1360j2 |
Quadratic twists by: -4 8 5 17 |