Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400n |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
995588000000000 = 211 · 59 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2267675,-1314374250] |
[a1,a2,a3,a4,a6] |
Generators |
[121396648662:-5622183753641:40001688] |
Generators of the group modulo torsion |
j |
40301032281655122/31112125 |
j-invariant |
L |
4.9062214338203 |
L(r)(E,1)/r! |
Ω |
0.12302811551429 |
Real period |
R |
19.939431784802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74800l4 7480b3 |
Quadratic twists by: -4 5 |