Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690a |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2083525419419566080 = 224 · 3 · 5 · 73 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-425558,-81384492] |
[a1,a2,a3,a4,a6] |
Generators |
[15459881014052:679737087219310:7066834559] |
Generators of the group modulo torsion |
j |
353108405631241/86318776320 |
j-invariant |
L |
3.5773275501387 |
L(r)(E,1)/r! |
Ω |
0.19025514284378 |
Real period |
R |
18.802790279113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210b3 |
Quadratic twists by: 17 |