Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694w |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
-1195556530187448 = -1 · 23 · 39 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8791,1689901] |
[a1,a2,a3,a4,a6] |
j |
-128667913/2047032 |
j-invariant |
L |
0.82197290522462 |
L(r)(E,1)/r! |
Ω |
0.41098664860302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694co1 9438w1 |
Quadratic twists by: -11 13 |