Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808t |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-13917198469515264 = -1 · 211 · 37 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,5680766] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:2178:1] |
Generators of the group modulo torsion |
j |
-98/33 |
j-invariant |
L |
5.5981374189694 |
L(r)(E,1)/r! |
Ω |
0.32225951427771 |
Real period |
R |
4.342879861527 |
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 |
77616cg1 12936r1 38808p1 |
Quadratic twists by: -4 -3 -7 |