Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152z |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-225108851175936 = -1 · 29 · 35 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -5 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14488,-260856] |
[a1,a2,a3,a4,a6] |
Generators |
[58:882:1] [226:3822:1] |
Generators of the group modulo torsion |
j |
5582912824/3737097 |
j-invariant |
L |
9.8846628044666 |
L(r)(E,1)/r! |
Ω |
0.31783525775866 |
Real period |
R |
0.25916630715605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152bo1 122304bf1 8736b1 |
Quadratic twists by: -4 8 -7 |