Atkin-Lehner |
5+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20615a |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-671739775 = -1 · 52 · 74 · 192 · 31 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 0 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,152,1083] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:589:27] |
Generators of the group modulo torsion |
j |
384399163511/671739775 |
j-invariant |
L |
7.7229509533925 |
L(r)(E,1)/r! |
Ω |
1.1066646071798 |
Real period |
R |
3.4892915628132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103075o1 |
Quadratic twists by: 5 |