Atkin-Lehner |
2+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27950d |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
-68652075700 = -1 · 22 · 52 · 135 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 -3 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8627,310841] |
[a1,a2,a3,a4,a6] |
Generators |
[8380:-25991:125] [55:-6:1] |
Generators of the group modulo torsion |
j |
-2840477897368305/2746083028 |
j-invariant |
L |
6.0844567433222 |
L(r)(E,1)/r! |
Ω |
1.0918872492849 |
Real period |
R |
0.27862110979442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27950p1 |
Quadratic twists by: 5 |