Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430b |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
5.6895288313758E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-671896238,-5636472664908] |
[a1,a2,a3,a4,a6] |
Generators |
[-1673201789511783127668766228:-94212203983403208704100455158:99609561200824930546201] |
Generators of the group modulo torsion |
j |
33545196597577725492544401775849/5689528831375764111360000000 |
j-invariant |
L |
2.474948491664 |
L(r)(E,1)/r! |
Ω |
0.029995997311383 |
Real period |
R |
41.254645844443 |
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 |
115440ci1 43290bq1 72150co1 |
Quadratic twists by: -4 -3 5 |