Atkin-Lehner |
2+ 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650v |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1137291314062500 = 22 · 32 · 58 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-150001,-22314352] |
[a1,a2,a3,a4,a6] |
Generators |
[631:11276:1] |
Generators of the group modulo torsion |
j |
23888120832864001/72786644100 |
j-invariant |
L |
6.79982421863 |
L(r)(E,1)/r! |
Ω |
0.24263637765461 |
Real period |
R |
3.5030939529908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730i2 |
Quadratic twists by: 5 |