Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650w |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-66737671875000 = -1 · 23 · 39 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87192,-9895784] |
[a1,a2,a3,a4,a6] |
Generators |
[749:18188:1] |
Generators of the group modulo torsion |
j |
-6435893935801/5859000 |
j-invariant |
L |
4.6328051323267 |
L(r)(E,1)/r! |
Ω |
0.13890774379671 |
Real period |
R |
2.0844793340082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bq1 19530bu1 |
Quadratic twists by: -3 5 |