Atkin-Lehner |
2- 3+ 13- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
102258t |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-157068288 = -1 · 210 · 33 · 13 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -2 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19,597] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] [-1:24:1] |
Generators of the group modulo torsion |
j |
29503629/5817344 |
j-invariant |
L |
13.864600434845 |
L(r)(E,1)/r! |
Ω |
1.4071329969949 |
Real period |
R |
0.49265422898166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102258c1 |
Quadratic twists by: -3 |