Atkin-Lehner |
2+ 5- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
97850f |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
723072 |
Modular degree for the optimal curve |
Δ |
-3518775427072000 = -1 · 221 · 53 · 194 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -5 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44355,-4609075] |
[a1,a2,a3,a4,a6] |
Generators |
[9795:135940:27] |
Generators of the group modulo torsion |
j |
-77207012647842797/28150203416576 |
j-invariant |
L |
6.9548280005095 |
L(r)(E,1)/r! |
Ω |
0.16154026916545 |
Real period |
R |
5.3816519295967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97850u1 |
Quadratic twists by: 5 |