Atkin-Lehner |
2- 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130bs |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-9496828800 = -1 · 27 · 37 · 52 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-833,10577] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:52:1] [3:88:1] |
Generators of the group modulo torsion |
j |
-87587538121/13027200 |
j-invariant |
L |
15.137172605889 |
L(r)(E,1)/r! |
Ω |
1.2507086792899 |
Real period |
R |
0.21612279365988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999945917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710i1 |
Quadratic twists by: -3 |