Atkin-Lehner |
2- 3+ 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104940l |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
3809322000 = 24 · 33 · 53 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1197,15661] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:55:1] [-28:165:1] |
Generators of the group modulo torsion |
j |
439058527488/8817875 |
j-invariant |
L |
12.244786290823 |
L(r)(E,1)/r! |
Ω |
1.3969115965365 |
Real period |
R |
1.4609354806856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001842 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104940e2 |
Quadratic twists by: -3 |