Atkin-Lehner |
2- 3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390t |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-318859200 = -1 · 26 · 33 · 52 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7,857] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-32:1] |
Generators of the group modulo torsion |
j |
1601613/11809600 |
j-invariant |
L |
7.3773449723146 |
L(r)(E,1)/r! |
Ω |
1.35300476192 |
Real period |
R |
0.45438032813317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60390f1 |
Quadratic twists by: -3 |