Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575bf |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2294812265625 = 38 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6980,214022] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:673:1] |
Generators of the group modulo torsion |
j |
3301293169/201465 |
j-invariant |
L |
4.0409131572926 |
L(r)(E,1)/r! |
Ω |
0.8058520204106 |
Real period |
R |
2.5072302685445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30525u1 18315r1 |
Quadratic twists by: -3 5 |