Atkin-Lehner |
2+ 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350g |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
906896250000 = 24 · 34 · 57 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23625,1387125] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:1530:1] [-54:1611:1] |
Generators of the group modulo torsion |
j |
93335715380881/58041360 |
j-invariant |
L |
7.4670288862877 |
L(r)(E,1)/r! |
Ω |
0.87584177424479 |
Real period |
R |
2.1313863720156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670bc1 |
Quadratic twists by: 5 |