Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200g |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
376000000000000000 = 218 · 515 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -3 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5681633,-5210664863] |
[a1,a2,a3,a4,a6] |
Generators |
[-12761133:2367800:9261] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
3.5390412669523 |
L(r)(E,1)/r! |
Ω |
0.097787138328503 |
Real period |
R |
9.0478188842354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cq1 1175a1 15040p1 |
Quadratic twists by: -4 8 5 |