Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840s |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1152040960 = -1 · 214 · 5 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245,2285] |
[a1,a2,a3,a4,a6] |
Generators |
[52:357:1] |
Generators of the group modulo torsion |
j |
-99672064/70315 |
j-invariant |
L |
11.686778169315 |
L(r)(E,1)/r! |
Ω |
1.4217913181944 |
Real period |
R |
2.7399187718617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91840bj1 5740b1 |
Quadratic twists by: -4 8 |