Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200du |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-399513600000000000 = -1 · 220 · 33 · 511 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30675,-30480750] |
[a1,a2,a3,a4,a6] |
Generators |
[4095:261750:1] |
Generators of the group modulo torsion |
j |
-1847284083/231200000 |
j-invariant |
L |
5.8679528432237 |
L(r)(E,1)/r! |
Ω |
0.1330253342817 |
Real period |
R |
5.5139429593794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650e1 61200di1 12240bi1 |
Quadratic twists by: -4 -3 5 |