Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225s |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
940400211181640625 = 36 · 513 · 134 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13537130,-19167260128] |
[a1,a2,a3,a4,a6] |
Generators |
[2034264:2900400055:1] |
Generators of the group modulo torsion |
j |
24085514417143530961/82559140625 |
j-invariant |
L |
4.4570106913947 |
L(r)(E,1)/r! |
Ω |
0.078707840455401 |
Real period |
R |
7.078409634659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12025c1 21645g1 |
Quadratic twists by: -3 5 |