Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950bz |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5509126403085816000 = -1 · 26 · 310 · 53 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,437790,18126900] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:3070:1] |
Generators of the group modulo torsion |
j |
1839616518277/1092170304 |
j-invariant |
L |
3.8231014219903 |
L(r)(E,1)/r! |
Ω |
0.14693549310765 |
Real period |
R |
3.2523637955259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950jf2 124950ef2 |
Quadratic twists by: 5 -7 |