Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6300bb |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1822842630000 = -1 · 24 · 312 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5925,-187175] |
[a1,a2,a3,a4,a6] |
Generators |
[104:567:1] |
Generators of the group modulo torsion |
j |
-3155449600/250047 |
j-invariant |
L |
4.2391447765382 |
L(r)(E,1)/r! |
Ω |
0.27085009210442 |
Real period |
R |
2.6085430650349 |
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 |
25200fe1 100800if1 2100r1 6300g1 |
Quadratic twists by: -4 8 -3 5 |