Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400dz |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-5.1514580611419E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-914408,-481895568] |
[a1,a2,a3,a4,a6] |
Generators |
[333770:15864142:125] |
Generators of the group modulo torsion |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
6.2203735943259 |
L(r)(E,1)/r! |
Ω |
0.075108680699688 |
Real period |
R |
8.2818304588563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550v1 92400hr1 |
Quadratic twists by: -4 5 |