Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850c |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-67375000000 = -1 · 26 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,250,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:175:1] |
Generators of the group modulo torsion |
j |
109902239/4312000 |
j-invariant |
L |
3.4948283929355 |
L(r)(E,1)/r! |
Ω |
0.83188690947767 |
Real period |
R |
1.0502714831544 |
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 |
30800bz1 123200bc1 34650cz1 770g1 |
Quadratic twists by: -4 8 -3 5 |