Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bt |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-2821183267505859375 = -1 · 3 · 59 · 78 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,350937,-11263008] |
[a1,a2,a3,a4,a6] |
Generators |
[972224615039:-53045276794582:347428927] |
Generators of the group modulo torsion |
j |
2600176603751/1534698375 |
j-invariant |
L |
4.9897282087531 |
L(r)(E,1)/r! |
Ω |
0.14932788709383 |
Real period |
R |
16.707288592826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495f1 8925e1 |
Quadratic twists by: 5 -7 |