Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787j |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
2.5434047926264E+20 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 11- -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1673954,-325258627] |
[a1,a2,a3,a4,a6] |
Generators |
[-1892057277674096688554:29812392878170100234105:1802014367719444984] |
Generators of the group modulo torsion |
j |
495616/243 |
j-invariant |
L |
9.8674928905032 |
L(r)(E,1)/r! |
Ω |
0.1395058218173 |
Real period |
R |
35.365882089946 |
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 |
53361cf1 17787ba1 17787l1 |
Quadratic twists by: -3 -7 -11 |