Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bk |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1132800 = -1 · 28 · 3 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[33:184:1] |
Generators of the group modulo torsion |
j |
-393040/177 |
j-invariant |
L |
3.6263492885139 |
L(r)(E,1)/r! |
Ω |
1.0126133573211 |
Real period |
R |
3.5811786029045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700o1 70800dg1 |
Quadratic twists by: -4 5 |