Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800bm |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2501381250000 = 24 · 38 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3450,17125] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:225:1] |
Generators of the group modulo torsion |
j |
24918016/13725 |
j-invariant |
L |
6.3725163142925 |
L(r)(E,1)/r! |
Ω |
0.70677146443389 |
Real period |
R |
1.1270468276245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600g1 21960c1 |
Quadratic twists by: -3 5 |