Atkin-Lehner |
2+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352b |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-929583856 = -1 · 24 · 31 · 374 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 -6 -4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2507,48337] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:241:1] [16:111:1] |
Generators of the group modulo torsion |
j |
-108909742530816/58098991 |
j-invariant |
L |
6.980046051436 |
L(r)(E,1)/r! |
Ω |
1.5510045096095 |
Real period |
R |
1.1250847447879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9176b1 73408u1 |
Quadratic twists by: -4 8 |