Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bp |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
3218416219422720 = 215 · 315 · 5 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 2 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8227854,9086074708] |
[a1,a2,a3,a4,a6] |
Generators |
[-981:127820:1] |
Generators of the group modulo torsion |
j |
61723777276716813001/3224862720 |
j-invariant |
L |
5.3716402114725 |
L(r)(E,1)/r! |
Ω |
0.33588363736439 |
Real period |
R |
7.9962814248869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070t1 123210cw1 |
Quadratic twists by: -3 37 |