Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ci |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
482947920000 = 27 · 36 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-394825,-95654075] |
[a1,a2,a3,a4,a6] |
Generators |
[-45405:22943:125] |
Generators of the group modulo torsion |
j |
222261000810165625/15769728 |
j-invariant |
L |
3.4075642351132 |
L(r)(E,1)/r! |
Ω |
0.19045757583937 |
Real period |
R |
4.472865185772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550js1 95550ew1 |
Quadratic twists by: 5 -7 |