Atkin-Lehner |
2+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822j |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
2381516051190848 = 26 · 112 · 139 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-219366,39457784] |
[a1,a2,a3,a4,a6] |
Generators |
[10479:-101921:27] [92:4432:1] |
Generators of the group modulo torsion |
j |
241862591022625/493393472 |
j-invariant |
L |
5.9145589169681 |
L(r)(E,1)/r! |
Ω |
0.4600309430063 |
Real period |
R |
3.2142179804004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8294d1 |
Quadratic twists by: 13 |