Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ci |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-4337177495040000 = -1 · 212 · 33 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65403,7175402] |
[a1,a2,a3,a4,a6] |
j |
-57960603/8125 |
j-invariant |
L |
3.3827559051879 |
L(r)(E,1)/r! |
Ω |
0.42284444340415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605b1 121680cw1 9360be1 |
Quadratic twists by: -4 -3 13 |