Atkin-Lehner |
2+ 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710h |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
835200 |
Modular degree for the optimal curve |
Δ |
-11534731198875000 = -1 · 23 · 35 · 56 · 235 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 3 3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1300084,570479882] |
[a1,a2,a3,a4,a6] |
Generators |
[646:-886:1] |
Generators of the group modulo torsion |
j |
-243017457260277996172729/11534731198875000 |
j-invariant |
L |
4.7671177530453 |
L(r)(E,1)/r! |
Ω |
0.37946229497542 |
Real period |
R |
1.2562823279594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130cb1 |
Quadratic twists by: -3 |