Atkin-Lehner |
2+ 3+ 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63270a |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
124160 |
Modular degree for the optimal curve |
Δ |
-14087460937500 = -1 · 22 · 33 · 510 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5415,-235575] |
[a1,a2,a3,a4,a6] |
Generators |
[333:5733:1] |
Generators of the group modulo torsion |
j |
-650429819689707/521757812500 |
j-invariant |
L |
4.2147980109615 |
L(r)(E,1)/r! |
Ω |
0.2690401032625 |
Real period |
R |
3.91651463846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63270x1 |
Quadratic twists by: -3 |