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 |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
145984017312000 = 28 · 33 · 53 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143783,20917173] |
[a1,a2,a3,a4,a6] |
Generators |
[2158:97745:1] |
Generators of the group modulo torsion |
j |
13619385906841/6048000 |
j-invariant |
L |
3.5773275501387 |
L(r)(E,1)/r! |
Ω |
0.57076542853133 |
Real period |
R |
6.2675967597044 |
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 |
210b1 |
Quadratic twists by: 17 |