Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810h |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5522400 |
Modular degree for the optimal curve |
Δ |
3.7588592026706E+21 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 4 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4531174,-2253075020] |
[a1,a2,a3,a4,a6] |
Generators |
[2611:59612:1] |
Generators of the group modulo torsion |
j |
70071254361/25600000 |
j-invariant |
L |
2.3974728421205 |
L(r)(E,1)/r! |
Ω |
0.10664357424864 |
Real period |
R |
1.4987449917555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810r1 |
Quadratic twists by: -59 |