Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100f |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
-31202899200 = -1 · 28 · 32 · 52 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -6 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,692,-5048] |
[a1,a2,a3,a4,a6] |
Generators |
[74:363:8] |
Generators of the group modulo torsion |
j |
5717870000/4875453 |
j-invariant |
L |
4.7813001845688 |
L(r)(E,1)/r! |
Ω |
0.64676375841761 |
Real period |
R |
1.8481633225298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999121013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122100bc1 |
Quadratic twists by: 5 |