Atkin-Lehner |
2- 3+ 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178be |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9792142796521008 = 24 · 33 · 74 · 116 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-620729,-188019799] |
[a1,a2,a3,a4,a6] |
Generators |
[-455:472:1] |
Generators of the group modulo torsion |
j |
979637495582317024179/362671955426704 |
j-invariant |
L |
13.264603740212 |
L(r)(E,1)/r! |
Ω |
0.1700919458406 |
Real period |
R |
2.4370281906502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178i2 |
Quadratic twists by: -3 |