Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800da |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-21372416000 = -1 · 212 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- -1 -2 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-835,11650] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:88:1] [-25:130:1] |
Generators of the group modulo torsion |
j |
-125751501/41743 |
j-invariant |
L |
6.5875402345728 |
L(r)(E,1)/r! |
Ω |
1.1423003680115 |
Real period |
R |
0.24028780064638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175j1 98800cm1 |
Quadratic twists by: -4 5 |