Atkin-Lehner |
3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10353b |
Isogeny class |
Conductor |
10353 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-24857553 = -1 · 3 · 75 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ -3 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1253,-17596] |
[a1,a2,a3,a4,a6] |
j |
-217569787548625/24857553 |
j-invariant |
L |
0.40121485937349 |
L(r)(E,1)/r! |
Ω |
0.40121485937349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31059i1 72471k1 |
Quadratic twists by: -3 -7 |