Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680k |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
749088000 = 28 · 34 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,2725] |
[a1,a2,a3,a4,a6] |
Generators |
[25:90:1] [-15:70:1] |
Generators of the group modulo torsion |
j |
85525504/10125 |
j-invariant |
L |
7.4348847868395 |
L(r)(E,1)/r! |
Ω |
1.5460890692786 |
Real period |
R |
0.20036805917195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360bo1 104040cf1 34680v1 |
Quadratic twists by: -4 -3 17 |