Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22960g |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10624 |
Modular degree for the optimal curve |
Δ |
-15061760 = -1 · 28 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 3 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,236] |
[a1,a2,a3,a4,a6] |
Generators |
[75:287:27] |
Generators of the group modulo torsion |
j |
-60742656/58835 |
j-invariant |
L |
9.9843631116829 |
L(r)(E,1)/r! |
Ω |
2.0193721555336 |
Real period |
R |
2.4721453854663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11480g1 91840bd1 114800h1 |
Quadratic twists by: -4 8 5 |