Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025f |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-54217529296875 = -1 · 33 · 514 · 7 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -1 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34150800,-76815601594] |
[a1,a2,a3,a4,a6] |
Generators |
[420789454421285054978452770:131495800597906825046727685738:4293272962904673516049] |
Generators of the group modulo torsion |
j |
-10441011330958888009728/128515625 |
j-invariant |
L |
5.3178863956372 |
L(r)(E,1)/r! |
Ω |
0.031226214495328 |
Real period |
R |
42.575496914882 |
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 |
74025c1 14805b1 |
Quadratic twists by: -3 5 |