Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694i |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
2258939768811856416 = 25 · 311 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 11+ 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1453091,669703533] |
[a1,a2,a3,a4,a6] |
Generators |
[-95802581:2110376964:79507] |
Generators of the group modulo torsion |
j |
851494303283/5668704 |
j-invariant |
L |
6.0033777654683 |
L(r)(E,1)/r! |
Ω |
0.2608602457665 |
Real period |
R |
11.506885119577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694by1 122694cb1 |
Quadratic twists by: -11 13 |