Atkin-Lehner |
2- 3+ 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
99180a |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1732975760070000 = -1 · 24 · 39 · 54 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83133,9440793] |
[a1,a2,a3,a4,a6] |
Generators |
[144:675:1] |
Generators of the group modulo torsion |
j |
-201758944013568/5502768125 |
j-invariant |
L |
6.7055420025415 |
L(r)(E,1)/r! |
Ω |
0.47042068613746 |
Real period |
R |
1.7817939878934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99180b1 |
Quadratic twists by: -3 |