Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240h |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28032 |
Modular degree for the optimal curve |
Δ |
-590284800 = -1 · 211 · 33 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2136,-38736] |
[a1,a2,a3,a4,a6] |
Generators |
[59:210:1] |
Generators of the group modulo torsion |
j |
-526502951858/288225 |
j-invariant |
L |
7.6889613598537 |
L(r)(E,1)/r! |
Ω |
0.35110583328966 |
Real period |
R |
3.6498782944494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480b1 |
Quadratic twists by: -4 |