Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990k |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
75140072230735260 = 22 · 33 · 5 · 78 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-106012,1560196] |
[a1,a2,a3,a4,a6] |
Generators |
[321:697:1] |
Generators of the group modulo torsion |
j |
1119971462469049/638680075740 |
j-invariant |
L |
3.7654381102361 |
L(r)(E,1)/r! |
Ω |
0.2955752157103 |
Real period |
R |
3.1848391797562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cu2 124950ia2 3570k2 |
Quadratic twists by: -3 5 -7 |