Atkin-Lehner |
5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38525a |
Isogeny class |
Conductor |
38525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105120 |
Modular degree for the optimal curve |
Δ |
-17855404540075 = -1 · 52 · 232 · 675 |
Discriminant |
Eigenvalues |
1 0 5+ 4 4 4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28277,-1834404] |
[a1,a2,a3,a4,a6] |
Generators |
[113523844754040:-282970330351006:578217728691] |
Generators of the group modulo torsion |
j |
-100021263902725905/714216181603 |
j-invariant |
L |
8.1583081554441 |
L(r)(E,1)/r! |
Ω |
0.18400315639284 |
Real period |
R |
22.168935347028 |
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 |
38525g1 |
Quadratic twists by: 5 |