Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400c |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1438080 |
Modular degree for the optimal curve |
Δ |
-2.794479962058E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7155208,10909146412] |
[a1,a2,a3,a4,a6] |
Generators |
[5429431320785:230428193405112:3833037125] |
Generators of the group modulo torsion |
j |
-2025632080681250/1397239981029 |
j-invariant |
L |
4.7069848627612 |
L(r)(E,1)/r! |
Ω |
0.10908328516513 |
Real period |
R |
21.575188424311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800bc1 52200ce1 17400bp1 |
Quadratic twists by: -4 -3 5 |