Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
41070j |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-110260555665408000 = -1 · 215 · 312 · 53 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -3 6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,56878,15122484] |
[a1,a2,a3,a4,a6] |
Generators |
[1643:66611:1] |
Generators of the group modulo torsion |
j |
401734898254403/2176782336000 |
j-invariant |
L |
3.8521705704138 |
L(r)(E,1)/r! |
Ω |
0.24065132632142 |
Real period |
R |
1.3339391023028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210da1 41070u1 |
Quadratic twists by: -3 37 |