Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74725l |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-784939421875 = -1 · 56 · 77 · 61 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -2 2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1633,50168] |
[a1,a2,a3,a4,a6] |
Generators |
[534:4274:27] |
Generators of the group modulo torsion |
j |
-262144/427 |
j-invariant |
L |
8.3282515596221 |
L(r)(E,1)/r! |
Ω |
0.80307745896307 |
Real period |
R |
2.5926053162144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2989b1 10675a1 |
Quadratic twists by: 5 -7 |