Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640z |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-106697606400000 = -1 · 211 · 39 · 55 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3736,-505936] |
[a1,a2,a3,a4,a6] |
j |
-23277976898/430565625 |
j-invariant |
L |
2.3058390571335 |
L(r)(E,1)/r! |
Ω |
0.25620435268558 |
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 |
101640ck1 |
Quadratic twists by: -11 |