Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53100h |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
2.6854211005987E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100345800,295851030500] |
[a1,a2,a3,a4,a6] |
Generators |
[-10280:490950:1] |
Generators of the group modulo torsion |
j |
38320731577531654144/9209263033603125 |
j-invariant |
L |
4.561705109813 |
L(r)(E,1)/r! |
Ω |
0.062711470428699 |
Real period |
R |
6.0617633406839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700c1 10620k1 |
Quadratic twists by: -3 5 |