Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
49440c |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1049017920000000 = -1 · 212 · 3 · 57 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17185,-1777583] |
[a1,a2,a3,a4,a6] |
Generators |
[1389:51500:1] |
Generators of the group modulo torsion |
j |
-137036937687616/256107890625 |
j-invariant |
L |
3.8852255783175 |
L(r)(E,1)/r! |
Ω |
0.19639382892561 |
Real period |
R |
0.23550987171644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440o1 98880w1 |
Quadratic twists by: -4 8 |