Atkin-Lehner |
2+ 3- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970bb |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-53522013600 = -1 · 25 · 310 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- 1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3474,-78732] |
[a1,a2,a3,a4,a6] |
j |
-6361447449889/73418400 |
j-invariant |
L |
1.2428466823187 |
L(r)(E,1)/r! |
Ω |
0.31071175463728 |
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 |
33990bd1 |
Quadratic twists by: -3 |