Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575l |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
19217872265625 = 33 · 58 · 113 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52917,-4667384] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:134:1] |
Generators of the group modulo torsion |
j |
38844557925363/45553475 |
j-invariant |
L |
7.4780652198131 |
L(r)(E,1)/r! |
Ω |
0.31479726252548 |
Real period |
R |
3.9591964416289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575g1 18315g1 |
Quadratic twists by: -3 5 |