Atkin-Lehner |
2+ 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050u |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-248110387200 = -1 · 212 · 35 · 52 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1301,-30112] |
[a1,a2,a3,a4,a6] |
Generators |
[48:112:1] [51:166:1] |
Generators of the group modulo torsion |
j |
-9730510920625/9924415488 |
j-invariant |
L |
9.3028485936583 |
L(r)(E,1)/r! |
Ω |
0.38187676812268 |
Real period |
R |
1.2180432754398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050bt1 |
Quadratic twists by: 5 |