Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400m |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-50544000000000000 = -1 · 216 · 35 · 512 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71967,-7884063] |
[a1,a2,a3,a4,a6] |
Generators |
[2657:137600:1] |
Generators of the group modulo torsion |
j |
40254822716/49359375 |
j-invariant |
L |
3.5069454303299 |
L(r)(E,1)/r! |
Ω |
0.19087653831687 |
Real period |
R |
4.5932117444119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400gj1 7800v1 12480bb1 |
Quadratic twists by: -4 8 5 |