Atkin-Lehner |
2+ 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184a |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-4169475714096 = -1 · 24 · 39 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-363595,-84265862] |
[a1,a2,a3,a4,a6] |
Generators |
[9993127964464865409592804109603627981974:251613107576560484358783707703091064762688:9470258613752370422036552394891501383] |
Generators of the group modulo torsion |
j |
-332245135482497959936/260592232131 |
j-invariant |
L |
6.2221966356554 |
L(r)(E,1)/r! |
Ω |
0.097210899889262 |
Real period |
R |
64.007190991375 |
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 |
53592bf1 |
Quadratic twists by: -4 |