Atkin-Lehner |
2+ 3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23370d |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
6905554560000 = 210 · 36 · 54 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-224524,40929866] |
[a1,a2,a3,a4,a6] |
Generators |
[241:791:1] |
Generators of the group modulo torsion |
j |
1251725915594145317689/6905554560000 |
j-invariant |
L |
3.7503167633572 |
L(r)(E,1)/r! |
Ω |
0.66376015933495 |
Real period |
R |
0.47084235555742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70110bn1 116850bs1 |
Quadratic twists by: -3 5 |