Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34980c |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
165934066320 = 24 · 35 · 5 · 115 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33066,-2303235] |
[a1,a2,a3,a4,a6] |
Generators |
[-525645279:17888527:5000211] |
Generators of the group modulo torsion |
j |
249897463392665344/10370879145 |
j-invariant |
L |
4.6639388188811 |
L(r)(E,1)/r! |
Ω |
0.35404146262873 |
Real period |
R |
13.173425463367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104940bi1 |
Quadratic twists by: -3 |