Atkin-Lehner |
2+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5530c |
Isogeny class |
Conductor |
5530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2784 |
Modular degree for the optimal curve |
Δ |
-17281250 = -1 · 2 · 56 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35,175] |
[a1,a2,a3,a4,a6] |
Generators |
[15:55:1] |
Generators of the group modulo torsion |
j |
4665834711/17281250 |
j-invariant |
L |
1.7427175865965 |
L(r)(E,1)/r! |
Ω |
1.5570168348033 |
Real period |
R |
0.55963350801429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44240k1 49770cb1 27650w1 38710w1 |
Quadratic twists by: -4 -3 5 -7 |