Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650d |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-417088000000000 = -1 · 215 · 59 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40875,3312125] |
[a1,a2,a3,a4,a6] |
j |
-483385461758641/26693632000 |
j-invariant |
L |
2.0974325647095 |
L(r)(E,1)/r! |
Ω |
0.52435814117738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200cm1 59850es1 1330j1 46550n1 |
Quadratic twists by: -4 -3 5 -7 |