Atkin-Lehner |
3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825b |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
12558411439453125 = 33 · 59 · 235 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -3 1 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-251313,-48296094] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:417:1] |
Generators of the group modulo torsion |
j |
112343683057106761/803738332125 |
j-invariant |
L |
3.0679525324599 |
L(r)(E,1)/r! |
Ω |
0.21332073972225 |
Real period |
R |
1.4381876497823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12765e1 |
Quadratic twists by: 5 |