Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cr |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-60706641850122240 = -1 · 214 · 35 · 5 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12690,-11836245] |
[a1,a2,a3,a4,a6] |
Generators |
[405:7539:1] |
Generators of the group modulo torsion |
j |
1920959458991/515997941760 |
j-invariant |
L |
7.3891730681369 |
L(r)(E,1)/r! |
Ω |
0.16486571898427 |
Real period |
R |
3.2013815822187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430bd1 4830bf1 |
Quadratic twists by: -3 -7 |