Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864f |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-431569631840256 = -1 · 211 · 39 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308259,-65882754] |
[a1,a2,a3,a4,a6] |
Generators |
[11382378:262221246:12167] |
Generators of the group modulo torsion |
j |
-683064198/91 |
j-invariant |
L |
3.9764422454945 |
L(r)(E,1)/r! |
Ω |
0.10130646155278 |
Real period |
R |
9.8129037983985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728l1 45864bd1 6552d1 |
Quadratic twists by: -4 -3 -7 |