Atkin-Lehner |
2+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850f |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-456809007812500 = -1 · 22 · 59 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -3 -6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44192,3731716] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:806:1] [-86:2668:1] |
Generators of the group modulo torsion |
j |
-610857885812049/29235776500 |
j-invariant |
L |
5.7586457391231 |
L(r)(E,1)/r! |
Ω |
0.52165220322986 |
Real period |
R |
0.19712934976693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970i1 |
Quadratic twists by: 5 |