Atkin-Lehner |
3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475a |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
77765625 = 32 · 56 · 7 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2600,-52125] |
[a1,a2,a3,a4,a6] |
Generators |
[1570:61415:1] |
Generators of the group modulo torsion |
j |
124475734657/4977 |
j-invariant |
L |
3.856366312014 |
L(r)(E,1)/r! |
Ω |
0.66855249244667 |
Real period |
R |
5.7682326452682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425e1 1659d1 |
Quadratic twists by: -3 5 |