Atkin-Lehner |
2- 3+ 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31110r |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
34048 |
Modular degree for the optimal curve |
Δ |
-21662515200 = -1 · 214 · 3 · 52 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-630,9075] |
[a1,a2,a3,a4,a6] |
Generators |
[3:83:1] |
Generators of the group modulo torsion |
j |
-27655941287521/21662515200 |
j-invariant |
L |
8.5364597749773 |
L(r)(E,1)/r! |
Ω |
1.1095184897265 |
Real period |
R |
0.54956013120103 |
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 |
93330l1 |
Quadratic twists by: -3 |