Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900d |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10015488 |
Modular degree for the optimal curve |
Δ |
1.2945784754265E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -3 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223872800,-1277614085500] |
[a1,a2,a3,a4,a6] |
Generators |
[-10378864460:55276943750:1295029] |
Generators of the group modulo torsion |
j |
7488405504/78125 |
j-invariant |
L |
5.9531514179756 |
L(r)(E,1)/r! |
Ω |
0.039054662543308 |
Real period |
R |
12.702604994931 |
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 |
10580h1 52900f1 |
Quadratic twists by: 5 -23 |