Atkin-Lehner |
2- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
61798g |
Isogeny class |
Conductor |
61798 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-2784370688 = -1 · 213 · 112 · 532 |
Discriminant |
Eigenvalues |
2- -3 -4 0 11+ 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2382,45405] |
[a1,a2,a3,a4,a6] |
Generators |
[33:27:1] [-23:307:1] |
Generators of the group modulo torsion |
j |
-531895486329/991232 |
j-invariant |
L |
7.3802978013333 |
L(r)(E,1)/r! |
Ω |
1.4349587975625 |
Real period |
R |
0.19781585939962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61798a1 |
Quadratic twists by: 53 |