Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96922i |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4285440 |
Modular degree for the optimal curve |
Δ |
-151332539644998656 = -1 · 210 · 710 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -3 1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1278958,-556709420] |
[a1,a2,a3,a4,a6] |
Generators |
[2060:73450:1] |
Generators of the group modulo torsion |
j |
-1966547820003866793/1286305362944 |
j-invariant |
L |
1.2001203721046 |
L(r)(E,1)/r! |
Ω |
0.070980398836432 |
Real period |
R |
4.2269428827324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13846b1 |
Quadratic twists by: -7 |