Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24900g |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
613440 |
Modular degree for the optimal curve |
Δ |
-275685018750000 = -1 · 24 · 312 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -5 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8210333,-9052280838] |
[a1,a2,a3,a4,a6] |
Generators |
[530656470309368503534:-63605686221985982797332:35477994502600469] |
Generators of the group modulo torsion |
j |
-9793232457951477760/44109603 |
j-invariant |
L |
2.8386171767879 |
L(r)(E,1)/r! |
Ω |
0.044594301063658 |
Real period |
R |
31.827129353768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600dn1 74700y1 24900n1 |
Quadratic twists by: -4 -3 5 |