Atkin-Lehner |
2- 3- 13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
102258x |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
3418240 |
Modular degree for the optimal curve |
Δ |
1928488190069376 = 27 · 36 · 132 · 19 · 235 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 5 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7252211,-7515345581] |
[a1,a2,a3,a4,a6] |
Generators |
[-194345:98306:125] |
Generators of the group modulo torsion |
j |
57863862665100444309993/2645388463744 |
j-invariant |
L |
13.663239103961 |
L(r)(E,1)/r! |
Ω |
0.091998755545314 |
Real period |
R |
2.1216496746067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362c1 |
Quadratic twists by: -3 |