Atkin-Lehner |
2+ 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910bl |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-128324470260 = -1 · 22 · 3 · 5 · 79 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1153,-22984] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1144:1] |
Generators of the group modulo torsion |
j |
-1439069689/1090740 |
j-invariant |
L |
7.2732767484913 |
L(r)(E,1)/r! |
Ω |
0.39665395277978 |
Real period |
R |
4.5841448809401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11130h1 |
Quadratic twists by: -7 |