Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345p |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
305246763648702225 = 36 · 52 · 74 · 178 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-405617,-95981304] |
[a1,a2,a3,a4,a6] |
Generators |
[1948680674:53346244163:1643032] |
Generators of the group modulo torsion |
j |
305759741604409/12646127025 |
j-invariant |
L |
6.6202033879019 |
L(r)(E,1)/r! |
Ω |
0.1896607641899 |
Real period |
R |
8.7263744509556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91035w2 1785i2 |
Quadratic twists by: -3 17 |