Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600bz |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
48050000000000 = 210 · 511 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105200,-13129000] |
[a1,a2,a3,a4,a6] |
Generators |
[7910:702900:1] |
Generators of the group modulo torsion |
j |
8047314026496/3003125 |
j-invariant |
L |
3.5505517444238 |
L(r)(E,1)/r! |
Ω |
0.26509732552845 |
Real period |
R |
6.6966947654405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600c1 12400s1 9920t1 |
Quadratic twists by: -4 8 5 |