Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dn |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
568320 |
Modular degree for the optimal curve |
Δ |
-3322336000000000 = -1 · 214 · 59 · 473 |
Discriminant |
Eigenvalues |
2- -2 5- -4 2 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-259333,50820963] |
[a1,a2,a3,a4,a6] |
Generators |
[958:26125:1] |
Generators of the group modulo torsion |
j |
-60276601856/103823 |
j-invariant |
L |
3.9119194741472 |
L(r)(E,1)/r! |
Ω |
0.44686969464761 |
Real period |
R |
4.3770248043865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200by1 18800k1 75200ea1 |
Quadratic twists by: -4 8 5 |