Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bk |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
7390269702144000 = 218 · 33 · 53 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65240,-4880400] |
[a1,a2,a3,a4,a6] |
j |
7497427556790361/1804265064000 |
j-invariant |
L |
1.8236949151299 |
L(r)(E,1)/r! |
Ω |
0.30394914504199 |
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 |
14910y1 |
Quadratic twists by: -4 |