Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944de |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-11219208142585856 = -1 · 226 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -1 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-319937,69733439] |
[a1,a2,a3,a4,a6] |
Generators |
[335:512:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
5.4070642905896 |
L(r)(E,1)/r! |
Ω |
0.40526271786956 |
Real period |
R |
1.6677651477283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944z1 22736bl1 12992bh1 |
Quadratic twists by: -4 8 -7 |