Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400gd |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-4357147852800000000 = -1 · 228 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 1 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,142125,-98288750] |
[a1,a2,a3,a4,a6] |
Generators |
[97890523:2488684914:148877] |
Generators of the group modulo torsion |
j |
272199695/3735552 |
j-invariant |
L |
6.2837776378363 |
L(r)(E,1)/r! |
Ω |
0.1203358025224 |
Real period |
R |
13.054671813581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8550o1 22800dn1 68400ey1 |
Quadratic twists by: -4 -3 5 |