Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345p |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53427344705859285 = 312 · 5 · 72 · 177 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6424042,-6269681669] |
[a1,a2,a3,a4,a6] |
Generators |
[98508928796050:-4156520796940853:25672375000] |
Generators of the group modulo torsion |
j |
1214661886599131209/2213451765 |
j-invariant |
L |
6.6202033879019 |
L(r)(E,1)/r! |
Ω |
0.094830382094949 |
Real period |
R |
17.452748901911 |
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 |
91035w4 1785i3 |
Quadratic twists by: -3 17 |