Atkin-Lehner |
3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15651c |
Isogeny class |
Conductor |
15651 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28056 |
Modular degree for the optimal curve |
Δ |
-2800417779 = -1 · 36 · 37 · 473 |
Discriminant |
Eigenvalues |
2 3- -1 -4 2 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17073,858647] |
[a1,a2,a3,a4,a6] |
Generators |
[674:1077:8] |
Generators of the group modulo torsion |
j |
-754963064303616/3841451 |
j-invariant |
L |
8.1058085539061 |
L(r)(E,1)/r! |
Ω |
1.2693812326521 |
Real period |
R |
2.1285458734805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1739a1 |
Quadratic twists by: -3 |