Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cr |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-531513979920000 = -1 · 27 · 33 · 54 · 75 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 3 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19570,-351203] |
[a1,a2,a3,a4,a6] |
Generators |
[1009:-32845:1] |
Generators of the group modulo torsion |
j |
49121680078125/31497124736 |
j-invariant |
L |
9.558673812668 |
L(r)(E,1)/r! |
Ω |
0.29818473611089 |
Real period |
R |
0.038162159924503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34650h1 34650c1 |
Quadratic twists by: -3 5 |