Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800bx |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-158544691200000000 = -1 · 231 · 33 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 3 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64500,-18090000] |
[a1,a2,a3,a4,a6] |
j |
10733445/57344 |
j-invariant |
L |
3.9014188497775 |
L(r)(E,1)/r! |
Ω |
0.1625591130405 |
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 |
100800ku1 3150f1 100800ca1 100800bb1 |
Quadratic twists by: -4 8 -3 5 |