Atkin-Lehner |
2+ 3+ 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130a |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1581120 |
Modular degree for the optimal curve |
Δ |
-883093787437500000 = -1 · 25 · 39 · 59 · 233 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342240,-89261344] |
[a1,a2,a3,a4,a6] |
Generators |
[258312378813449:5237184124828001:282687895547] |
Generators of the group modulo torsion |
j |
-225229584229950483/44865812500000 |
j-invariant |
L |
4.505573497013 |
L(r)(E,1)/r! |
Ω |
0.097644770528607 |
Real period |
R |
23.071248325035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130bk1 |
Quadratic twists by: -3 |