Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520b |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-4247276472000 = -1 · 26 · 315 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9621,-373329] |
[a1,a2,a3,a4,a6] |
Generators |
[474830718974:-11816899336643:746142643] |
Generators of the group modulo torsion |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
4.8471560872802 |
L(r)(E,1)/r! |
Ω |
0.24041778965988 |
Real period |
R |
20.16138695118 |
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 |
35520cm1 555b1 106560co1 |
Quadratic twists by: -4 8 -3 |