Atkin-Lehner |
2- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400be |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-195200000000 = -1 · 213 · 58 · 61 |
Discriminant |
Eigenvalues |
2- -3 5- 1 -6 -6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,21250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:200:1] |
Generators of the group modulo torsion |
j |
135/122 |
j-invariant |
L |
2.3588190705881 |
L(r)(E,1)/r! |
Ω |
0.78589679168478 |
Real period |
R |
0.25011968233252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3050d1 97600cy1 24400r1 |
Quadratic twists by: -4 8 5 |