Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74725n |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
81648 |
Modular degree for the optimal curve |
Δ |
-112134203125 = -1 · 56 · 76 · 61 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -5 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2476,-50277] |
[a1,a2,a3,a4,a6] |
Generators |
[8455489:40410208:117649] |
Generators of the group modulo torsion |
j |
-912673/61 |
j-invariant |
L |
4.1799067674805 |
L(r)(E,1)/r! |
Ω |
0.33711698115809 |
Real period |
R |
12.398980182397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2989d1 1525a1 |
Quadratic twists by: 5 -7 |