Atkin-Lehner |
2+ 3+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178i |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7138472098663814832 = 24 · 39 · 74 · 116 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5586558,5082121124] |
[a1,a2,a3,a4,a6] |
Generators |
[568:45454:1] |
Generators of the group modulo torsion |
j |
979637495582317024179/362671955426704 |
j-invariant |
L |
2.8621525697726 |
L(r)(E,1)/r! |
Ω |
0.23145502264759 |
Real period |
R |
0.25762317856314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178be2 |
Quadratic twists by: -3 |