Atkin-Lehner |
2- 3- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990ba |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-5929012039500 = -1 · 22 · 36 · 53 · 115 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4288,44111] |
[a1,a2,a3,a4,a6] |
Generators |
[1:219:1] |
Generators of the group modulo torsion |
j |
11963423082311/8133075500 |
j-invariant |
L |
13.39739181503 |
L(r)(E,1)/r! |
Ω |
0.4769590283427 |
Real period |
R |
0.93630626611843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110b1 |
Quadratic twists by: -3 |