Atkin-Lehner |
2- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92510w |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-9251000000 = -1 · 26 · 56 · 11 · 292 |
Discriminant |
Eigenvalues |
2- -1 5- -4 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-380,5277] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:61:1] [-3:81:1] |
Generators of the group modulo torsion |
j |
-7216887481/11000000 |
j-invariant |
L |
13.011149071075 |
L(r)(E,1)/r! |
Ω |
1.1652062603885 |
Real period |
R |
0.31017753663923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92510j1 |
Quadratic twists by: 29 |