Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440d |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-12831886080000000 = -1 · 214 · 33 · 57 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6672,5446048] |
[a1,a2,a3,a4,a6] |
Generators |
[377:7845:1] |
Generators of the group modulo torsion |
j |
74251994112/29007265625 |
j-invariant |
L |
3.5286898537338 |
L(r)(E,1)/r! |
Ω |
0.31009783383584 |
Real period |
R |
5.6896396374081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440cz1 4680d1 37440r1 |
Quadratic twists by: -4 8 -3 |