Atkin-Lehner |
3+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
100425c |
Isogeny class |
Conductor |
100425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-4079765625 = -1 · 3 · 57 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 -2 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,312,-2094] |
[a1,a2,a3,a4,a6] |
Generators |
[6:3:1] [45:302:1] |
Generators of the group modulo torsion |
j |
214921799/261105 |
j-invariant |
L |
6.0588870828135 |
L(r)(E,1)/r! |
Ω |
0.74491471471232 |
Real period |
R |
1.0167081817819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20085e1 |
Quadratic twists by: 5 |