Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950by |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-402178500000 = -1 · 25 · 33 · 56 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1205,34797] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-204:1] |
Generators of the group modulo torsion |
j |
-458314011/953312 |
j-invariant |
L |
8.0693584885418 |
L(r)(E,1)/r! |
Ω |
0.84259348027884 |
Real period |
R |
0.31922703246613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600cm1 13950i2 558b1 |
Quadratic twists by: -4 -3 5 |