Atkin-Lehner |
2+ 3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450k |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
412800 |
Modular degree for the optimal curve |
Δ |
-21108248755200 = -1 · 210 · 32 · 52 · 195 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 5 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5770,-140460] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5618:1] |
Generators of the group modulo torsion |
j |
849558974228015/844329950208 |
j-invariant |
L |
4.5379669030269 |
L(r)(E,1)/r! |
Ω |
0.37069028172329 |
Real period |
R |
0.61209682278573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450ct1 |
Quadratic twists by: 5 |