Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400dd |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-385512243200 = -1 · 217 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -1 -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,980,27440] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
5.4076800070401 |
L(r)(E,1)/r! |
Ω |
0.6759600093259 |
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 |
78400jc1 9800bl1 78400ft1 1600h1 |
Quadratic twists by: -4 8 5 -7 |