Atkin-Lehner |
2+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234s |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-173628931653632 = -1 · 214 · 76 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8404,-703408] |
[a1,a2,a3,a4,a6] |
Generators |
[958:795:8] [136:764:1] |
Generators of the group modulo torsion |
j |
-558051585337/1475821568 |
j-invariant |
L |
6.7411893494072 |
L(r)(E,1)/r! |
Ω |
0.23168562995003 |
Real period |
R |
2.4246897800208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066b1 |
Quadratic twists by: -7 |