Atkin-Lehner |
2+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
91840p |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
421729280 = 210 · 5 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-272,1416] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:56:1] |
Generators of the group modulo torsion |
j |
2173353984/411845 |
j-invariant |
L |
4.6939383238514 |
L(r)(E,1)/r! |
Ω |
1.5940399011979 |
Real period |
R |
1.4723402824411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840br1 5740a1 |
Quadratic twists by: -4 8 |