Atkin-Lehner |
2+ 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270v |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1825920 |
Modular degree for the optimal curve |
Δ |
-729967192789320 = -1 · 23 · 36 · 5 · 192 · 375 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -1 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1946079,1045421365] |
[a1,a2,a3,a4,a6] |
Generators |
[809:-571:1] |
Generators of the group modulo torsion |
j |
-1118092432397783881969/1001326739080 |
j-invariant |
L |
2.2865378432661 |
L(r)(E,1)/r! |
Ω |
0.42383139292268 |
Real period |
R |
0.26974616333872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7030f1 |
Quadratic twists by: -3 |