Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cq |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
2.480544940032E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-945422,-260092131] |
[a1,a2,a3,a4,a6] |
Generators |
[-423:8211:1] |
Generators of the group modulo torsion |
j |
2528326645183247067/671088640000000 |
j-invariant |
L |
11.662387549384 |
L(r)(E,1)/r! |
Ω |
0.15613423625713 |
Real period |
R |
0.16167666843438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210d1 123210g1 |
Quadratic twists by: -3 37 |