Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950cf |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
3989036406250 = 2 · 57 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-720938,-235670758] |
[a1,a2,a3,a4,a6] |
Generators |
[-584008378:296870889:1191016] |
Generators of the group modulo torsion |
j |
22542871522249/2170 |
j-invariant |
L |
13.407331540874 |
L(r)(E,1)/r! |
Ω |
0.16384193737059 |
Real period |
R |
10.228861239205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190o1 10850u1 |
Quadratic twists by: 5 -7 |