Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700r |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-23716000000 = -1 · 28 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2108,-37288] |
[a1,a2,a3,a4,a6] |
j |
-2141392/49 |
j-invariant |
L |
2.1108054110279 |
L(r)(E,1)/r! |
Ω |
0.35180088992354 |
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 |
3388c1 84700i1 |
Quadratic twists by: 5 -11 |