Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4400a |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-68750000 = -1 · 24 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50,375] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
55296/275 |
j-invariant |
L |
3.4167255157645 |
L(r)(E,1)/r! |
Ω |
1.403389153022 |
Real period |
R |
2.4346244293018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2200a1 17600cc1 39600bd1 880a1 |
Quadratic twists by: -4 8 -3 5 |