Atkin-Lehner |
2+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2470a |
Isogeny class |
Conductor |
2470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
656656 |
Modular degree for the optimal curve |
Δ |
-1.7852555584709E+26 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,81710302,576603336052] |
[a1,a2,a3,a4,a6] |
Generators |
[-331623568162572:75209641096843142:127491370937] |
Generators of the group modulo torsion |
j |
60332893035582377081137649111/178525555847085424640000000 |
j-invariant |
L |
1.7678663710616 |
L(r)(E,1)/r! |
Ω |
0.040145944799475 |
Real period |
R |
22.017994344036 |
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 |
19760n1 79040bf1 22230bo1 12350p1 |
Quadratic twists by: -4 8 -3 5 |