Atkin-Lehner |
3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075c |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-34206046875 = -1 · 37 · 56 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11+ 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2458,-46932] |
[a1,a2,a3,a4,a6] |
Generators |
[62:187:1] |
Generators of the group modulo torsion |
j |
-105154048000/2189187 |
j-invariant |
L |
1.9603361173237 |
L(r)(E,1)/r! |
Ω |
0.3385898121213 |
Real period |
R |
2.8948539598183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3003i1 |
Quadratic twists by: 5 |