Atkin-Lehner |
2+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400a |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-8272000000 = -1 · 210 · 56 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11+ -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159875,24604750] |
[a1,a2,a3,a4,a6] |
Generators |
[231:4:1] |
Generators of the group modulo torsion |
j |
-28245248626500/517 |
j-invariant |
L |
3.6379470744932 |
L(r)(E,1)/r! |
Ω |
0.93948875535805 |
Real period |
R |
0.96806562801401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999632267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4136c1 |
Quadratic twists by: 5 |