Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650t |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7674433593750 = -1 · 2 · 36 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20742,-1152334] |
[a1,a2,a3,a4,a6] |
Generators |
[643:15523:1] |
Generators of the group modulo torsion |
j |
-138630825/1078 |
j-invariant |
L |
3.5914273936606 |
L(r)(E,1)/r! |
Ω |
0.1988173516325 |
Real period |
R |
4.5159883734636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3850m1 34650ek1 |
Quadratic twists by: -3 5 |