Atkin-Lehner |
2+ 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
354c |
Isogeny class |
Conductor |
354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-1376352 = -1 · 25 · 36 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -5 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-715,7069] |
[a1,a2,a3,a4,a6] |
Generators |
[13:7:1] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
1.1762556419164 |
L(r)(E,1)/r! |
Ω |
2.5265851358079 |
Real period |
R |
0.23277577811371 |
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 |
2832e1 11328g1 1062k1 8850bd1 |
Quadratic twists by: -4 8 -3 5 |