Atkin-Lehner |
3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575r |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-2795326875 = -1 · 33 · 54 · 112 · 372 |
Discriminant |
Eigenvalues |
-2 3+ 5- -1 11- 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-225,2856] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:16:1] [-1:55:1] |
Generators of the group modulo torsion |
j |
-74649600/165649 |
j-invariant |
L |
5.7841572688063 |
L(r)(E,1)/r! |
Ω |
1.2722870586386 |
Real period |
R |
0.56828343385897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575p1 91575j1 |
Quadratic twists by: -3 5 |