Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
71100d |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-133312500000000 = -1 · 28 · 33 · 512 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -1 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1447575,670362750] |
[a1,a2,a3,a4,a6] |
Generators |
[714:888:1] |
Generators of the group modulo torsion |
j |
-3106155396053232/1234375 |
j-invariant |
L |
7.8066755699729 |
L(r)(E,1)/r! |
Ω |
0.47417517093601 |
Real period |
R |
4.1159238448106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71100c1 14220b1 |
Quadratic twists by: -3 5 |