Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400fm |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-19523011200000000 = -1 · 213 · 3 · 58 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-515208,142668912] |
[a1,a2,a3,a4,a6] |
Generators |
[-692:12936:1] [92:9800:1] |
Generators of the group modulo torsion |
j |
-9452623635625/12201882 |
j-invariant |
L |
9.7288305919676 |
L(r)(E,1)/r! |
Ω |
0.38458079357416 |
Real period |
R |
0.21081028907867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550be1 92400gg1 |
Quadratic twists by: -4 5 |