Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575cc |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-115899609375 = -1 · 36 · 58 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,16416] |
[a1,a2,a3,a4,a6] |
Generators |
[12576:264856:27] |
Generators of the group modulo torsion |
j |
-625/407 |
j-invariant |
L |
7.1194138158409 |
L(r)(E,1)/r! |
Ω |
0.8502600549544 |
Real period |
R |
8.3732192066477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10175l1 91575bg1 |
Quadratic twists by: -3 5 |