Atkin-Lehner |
2+ 3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
102414m |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2433600 |
Modular degree for the optimal curve |
Δ |
-126489386862207954 = -1 · 2 · 310 · 139 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 0 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1054057,-416966938] |
[a1,a2,a3,a4,a6] |
Generators |
[150470:883693:125] |
Generators of the group modulo torsion |
j |
-12213081053389/11927898 |
j-invariant |
L |
7.609505176184 |
L(r)(E,1)/r! |
Ω |
0.074495176026289 |
Real period |
R |
5.1073811751435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102414u1 |
Quadratic twists by: 13 |