Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bk |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-987596883315 = -1 · 36 · 5 · 78 · 47 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -4 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2352,-64913] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1192:1] |
Generators of the group modulo torsion |
j |
-16777216/11515 |
j-invariant |
L |
5.2181553238394 |
L(r)(E,1)/r! |
Ω |
0.3326410066794 |
Real period |
R |
3.921761904695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515b1 14805c1 |
Quadratic twists by: -3 -7 |