Atkin-Lehner |
2+ 3- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970u |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-30106132650000000 = -1 · 27 · 312 · 58 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71100,-11070000] |
[a1,a2,a3,a4,a6] |
j |
-54526600467057601/41297850000000 |
j-invariant |
L |
0.56613990639515 |
L(r)(E,1)/r! |
Ω |
0.14153505697287 |
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 |
33990bh1 |
Quadratic twists by: -3 |