Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976bt |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-53143795016925184 = -1 · 241 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 0 3 1 11- 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-244556,-47852688] |
[a1,a2,a3,a4,a6] |
Generators |
[37133733340717:3032795425826569:5535839609] |
Generators of the group modulo torsion |
j |
-2808592297029/92274688 |
j-invariant |
L |
9.6537334976947 |
L(r)(E,1)/r! |
Ω |
0.10713617481481 |
Real period |
R |
22.526783120597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976ct1 3718d1 118976w1 |
Quadratic twists by: -4 8 13 |