Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990t |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3.2292954699961E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24806129,-47556803248] |
[a1,a2,a3,a4,a6] |
Generators |
[5913:108904:1] |
Generators of the group modulo torsion |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
4.1251967601973 |
L(r)(E,1)/r! |
Ω |
0.033824338600765 |
Real period |
R |
6.0979710629199 |
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 |
74970dt1 124950fr1 3570e1 |
Quadratic twists by: -3 5 -7 |