Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810ca |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-113622957100800 = -1 · 28 · 38 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20581,-1255381] |
[a1,a2,a3,a4,a6] |
Generators |
[329:5100:1] |
Generators of the group modulo torsion |
j |
-8194759433281/965779200 |
j-invariant |
L |
7.6565960688038 |
L(r)(E,1)/r! |
Ω |
0.19798771412063 |
Real period |
R |
2.4170047945937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430co1 690k1 |
Quadratic twists by: -3 -7 |