Atkin-Lehner |
3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075bf |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
-23263389675421875 = -1 · 320 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 4 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-100875,-14349969] |
[a1,a2,a3,a4,a6] |
Generators |
[8824730758728949740:108474942827808151381:19703127256618688] |
Generators of the group modulo torsion |
j |
-9966135808000/2042327763 |
j-invariant |
L |
15.824642353775 |
L(r)(E,1)/r! |
Ω |
0.13248489059623 |
Real period |
R |
29.861220933493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32025v1 3843e1 |
Quadratic twists by: -3 5 |