Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
370a |
Isogeny class |
Conductor |
370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-18741610 = -1 · 2 · 5 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25,-209] |
[a1,a2,a3,a4,a6] |
Generators |
[7:13:1] |
Generators of the group modulo torsion |
j |
1689410871/18741610 |
j-invariant |
L |
1.2956210363413 |
L(r)(E,1)/r! |
Ω |
1.0707767469631 |
Real period |
R |
2.4199648339692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2960e4 11840o4 3330t4 1850j4 |
Quadratic twists by: -4 8 -3 5 |