Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990q |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
417444845726307000 = 23 · 3 · 53 · 78 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-748892,247189944] |
[a1,a2,a3,a4,a6] |
Generators |
[-995:3413:1] [-4866:177363:8] |
Generators of the group modulo torsion |
j |
394815279796185529/3548222643000 |
j-invariant |
L |
5.2839217739007 |
L(r)(E,1)/r! |
Ω |
0.30011991948171 |
Real period |
R |
0.97811304950408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cq4 124950hv4 3570j4 |
Quadratic twists by: -3 5 -7 |