Atkin-Lehner |
2+ 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650b |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-29726493750000 = -1 · 24 · 35 · 58 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,850,262500] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:455:1] |
Generators of the group modulo torsion |
j |
4338722591/1902495600 |
j-invariant |
L |
4.5771960349325 |
L(r)(E,1)/r! |
Ω |
0.5145932353993 |
Real period |
R |
2.2236961125162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000276576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530bi1 |
Quadratic twists by: 5 |