Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760s |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-101551081846210560 = -1 · 230 · 39 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88895,-11475263] |
[a1,a2,a3,a4,a6] |
Generators |
[520083158133:10412318683136:2242946629] |
Generators of the group modulo torsion |
j |
296354077829711/387386634240 |
j-invariant |
L |
5.8480395195198 |
L(r)(E,1)/r! |
Ω |
0.17935020588411 |
Real period |
R |
16.303408994408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cv1 930n1 89280bq1 |
Quadratic twists by: -4 8 -3 |