Atkin-Lehner |
2+ 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152b |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
8285184 = 210 · 32 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 2 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312,-2016] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:2:1] |
Generators of the group modulo torsion |
j |
3290627812/8091 |
j-invariant |
L |
4.033857992252 |
L(r)(E,1)/r! |
Ω |
1.1358190311951 |
Real period |
R |
0.88787427430261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576e1 129456n1 |
Quadratic twists by: -4 -3 |