Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bh |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-6.7163821690703E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2113344,-3762201600] |
[a1,a2,a3,a4,a6] |
Generators |
[16058:2042210:1] |
Generators of the group modulo torsion |
j |
254843842209078249791/1639741740495667200 |
j-invariant |
L |
4.6057563633422 |
L(r)(E,1)/r! |
Ω |
0.066529910495841 |
Real period |
R |
5.7690297108085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8610p1 |
Quadratic twists by: -4 |