Atkin-Lehner |
2+ 3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274u |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
2.3715434617451E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7377066,2139455260] |
[a1,a2,a3,a4,a6] |
Generators |
[-1116920:45927843:512] |
Generators of the group modulo torsion |
j |
44399147804608917232473625/23715434617451375404032 |
j-invariant |
L |
4.8963052181846 |
L(r)(E,1)/r! |
Ω |
0.10497373125365 |
Real period |
R |
5.8303934228479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
87822bv1 |
Quadratic twists by: -3 |