Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910ci |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
43527660312192000 = 210 · 3 · 53 · 79 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-159006,22231236] |
[a1,a2,a3,a4,a6] |
Generators |
[158:950:1] |
Generators of the group modulo torsion |
j |
3778993806976081/369979008000 |
j-invariant |
L |
11.200121525172 |
L(r)(E,1)/r! |
Ω |
0.35049925554696 |
Real period |
R |
1.5977382758897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130ba1 |
Quadratic twists by: -7 |