Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600ca |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-953125000000 = -1 · 26 · 512 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,45738] |
[a1,a2,a3,a4,a6] |
Generators |
[53:500:1] [153:1950:1] |
Generators of the group modulo torsion |
j |
107850176/953125 |
j-invariant |
L |
6.4330393631464 |
L(r)(E,1)/r! |
Ω |
0.64563275877774 |
Real period |
R |
9.9639296124314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600bx1 48800m2 19520v1 |
Quadratic twists by: -4 8 5 |