Atkin-Lehner |
2- 3- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30090g |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
147832170 = 2 · 3 · 5 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9446,-354150] |
[a1,a2,a3,a4,a6] |
Generators |
[-4163250:2030155:74088] |
Generators of the group modulo torsion |
j |
93211695846296929/147832170 |
j-invariant |
L |
8.641397041496 |
L(r)(E,1)/r! |
Ω |
0.48426978303508 |
Real period |
R |
8.9220898600542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90270n4 |
Quadratic twists by: -3 |