Atkin-Lehner |
2+ 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850a |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
27247261760000000 = 212 · 57 · 373 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-153775,21745125] |
[a1,a2,a3,a4,a6] |
Generators |
[45:3840:1] |
Generators of the group modulo torsion |
j |
25737437561323249/1743824752640 |
j-invariant |
L |
6.2653320066652 |
L(r)(E,1)/r! |
Ω |
0.36787994768266 |
Real period |
R |
4.2577286733843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170l1 |
Quadratic twists by: 5 |