Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30316b |
Isogeny class |
Conductor |
30316 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
17378586368 = 28 · 11 · 133 · 532 |
Discriminant |
Eigenvalues |
2- -2 0 -4 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128908,17771364] |
[a1,a2,a3,a4,a6] |
Generators |
[10595:1089998:1] |
Generators of the group modulo torsion |
j |
925394101677250000/67885103 |
j-invariant |
L |
2.6030168094015 |
L(r)(E,1)/r! |
Ω |
0.93577124003781 |
Real period |
R |
5.5633614243079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121264n2 |
Quadratic twists by: -4 |