Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210f |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
368891109630 = 2 · 39 · 5 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2310,-30610] |
[a1,a2,a3,a4,a6] |
Generators |
[61:199:1] |
Generators of the group modulo torsion |
j |
36963/10 |
j-invariant |
L |
3.956183390524 |
L(r)(E,1)/r! |
Ω |
0.70258759746105 |
Real period |
R |
2.8154378563629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998784642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210co1 123210cr1 |
Quadratic twists by: -3 37 |