Atkin-Lehner |
3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78585g |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-21173988529395 = -1 · 314 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 -2 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3835963017,-91446549167124] |
[a1,a2,a3,a4,a6] |
Generators |
[144540:48649716:1] |
Generators of the group modulo torsion |
j |
-218561436977626127589484337161/741360195 |
j-invariant |
L |
7.7617788352687 |
L(r)(E,1)/r! |
Ω |
0.0095918185851804 |
Real period |
R |
8.2572271507933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
49.000000001637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78585b2 |
Quadratic twists by: 13 |