Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210j |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3196800 |
Modular degree for the optimal curve |
Δ |
379347781023468000 = 25 · 33 · 53 · 378 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2782749,1787181093] |
[a1,a2,a3,a4,a6] |
j |
25128603243/4000 |
j-invariant |
L |
2.3296769432693 |
L(r)(E,1)/r! |
Ω |
0.29120967771457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123210bz2 123210by1 |
Quadratic twists by: -3 37 |