Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150z |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-603864783028125000 = -1 · 23 · 316 · 58 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,163683,27311341] |
[a1,a2,a3,a4,a6] |
Generators |
[-378:35489:8] |
Generators of the group modulo torsion |
j |
42578013373559/53014192200 |
j-invariant |
L |
4.6525178519483 |
L(r)(E,1)/r! |
Ω |
0.19420989929994 |
Real period |
R |
5.9890328308689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050w2 6030s2 |
Quadratic twists by: -3 5 |