Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800cb |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-600025320000000000 = -1 · 212 · 37 · 510 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -5 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,184792,-21371088] |
[a1,a2,a3,a4,a6] |
Generators |
[346:9158:1] |
Generators of the group modulo torsion |
j |
17446602575/15000633 |
j-invariant |
L |
3.658530683375 |
L(r)(E,1)/r! |
Ω |
0.15973397773713 |
Real period |
R |
3.8173162813193 |
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 |
1425f1 91200hn1 68400fc1 22800dq1 |
Quadratic twists by: -4 8 -3 5 |