Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210a |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-80963755200 = -1 · 26 · 33 · 52 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2310,-44300] |
[a1,a2,a3,a4,a6] |
Generators |
[65:245:1] |
Generators of the group modulo torsion |
j |
-26946027/1600 |
j-invariant |
L |
6.3339487327373 |
L(r)(E,1)/r! |
Ω |
0.34313543977159 |
Real period |
R |
0.7691264123812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cm1 123210cl1 |
Quadratic twists by: -3 37 |