Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bk |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6854400 |
Modular degree for the optimal curve |
Δ |
7.3095776367188E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -2 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2209545,-1194813779] |
[a1,a2,a3,a4,a6] |
j |
1195367376229058809/73242187500000 |
j-invariant |
L |
0.24860790360386 |
L(r)(E,1)/r! |
Ω |
0.12430432368026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070bb1 123210dp1 |
Quadratic twists by: -3 37 |