Atkin-Lehner |
2+ 3- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330m |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
-8699896945497600000 = -1 · 212 · 37 · 55 · 174 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3383010,2400032916] |
[a1,a2,a3,a4,a6] |
Generators |
[987:-5160:1] |
Generators of the group modulo torsion |
j |
-5873623444496820771361/11934015014400000 |
j-invariant |
L |
2.8973623962236 |
L(r)(E,1)/r! |
Ω |
0.23220988608407 |
Real period |
R |
0.77983393655993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110y1 |
Quadratic twists by: -3 |