Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800j |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
-11692800 = -1 · 28 · 32 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-553,5197] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-6:1] |
Generators of the group modulo torsion |
j |
-2927549440/1827 |
j-invariant |
L |
6.6712450092708 |
L(r)(E,1)/r! |
Ω |
2.2382670706128 |
Real period |
R |
0.37256752727023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800cc1 |
Quadratic twists by: 5 |