Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490ds |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-79512545548800 = -1 · 29 · 37 · 52 · 75 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10130,174212] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-862:1] |
Generators of the group modulo torsion |
j |
680240780047751/470488435200 |
j-invariant |
L |
11.658738653846 |
L(r)(E,1)/r! |
Ω |
0.3852499042412 |
Real period |
R |
0.048036181625103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470bp1 35490y1 |
Quadratic twists by: -3 13 |