Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700d |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
8676435550781250000 = 24 · 39 · 512 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7658133,8158359762] |
[a1,a2,a3,a4,a6] |
Generators |
[13179936392:841264309375:2515456] |
Generators of the group modulo torsion |
j |
198679232562180653056/34705742203125 |
j-invariant |
L |
5.5306379042519 |
L(r)(E,1)/r! |
Ω |
0.22475417248448 |
Real period |
R |
12.303749118433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740w1 |
Quadratic twists by: 5 |