Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34104b |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
632448 |
Modular degree for the optimal curve |
Δ |
1637798752091706624 = 28 · 32 · 72 · 299 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -6 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360985,-56250851] |
[a1,a2,a3,a4,a6] |
j |
414721296960646144/130564313782821 |
j-invariant |
L |
1.596753341285 |
L(r)(E,1)/r! |
Ω |
0.19959416766005 |
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 |
68208q1 102312bq1 34104k1 |
Quadratic twists by: -4 -3 -7 |