Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224bw |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
28753920 |
Modular degree for the optimal curve |
Δ |
-1.4774325604207E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-316494304,-2244601655552] |
[a1,a2,a3,a4,a6] |
j |
-855975748839293684480822497/36070130869646024245248 |
j-invariant |
L |
0.42846904764046 |
L(r)(E,1)/r! |
Ω |
0.017852876604149 |
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 |
8778s1 |
Quadratic twists by: -4 |