Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304by |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6384953203196166144 = -1 · 234 · 35 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61217,-121692255] |
[a1,a2,a3,a4,a6] |
Generators |
[1994904274790256535106:-29721454421991221070335:3174202758557357288] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
7.0910291701837 |
L(r)(E,1)/r! |
Ω |
0.10632511478082 |
Real period |
R |
33.345974952172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999177099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ij1 3822m1 2496j1 |
Quadratic twists by: -4 8 -7 |