Atkin-Lehner |
7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34937a |
Isogeny class |
Conductor |
34937 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6600 |
Modular degree for the optimal curve |
Δ |
-83883737 = -1 · 76 · 23 · 31 |
Discriminant |
Eigenvalues |
1 -1 0 7- -4 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-454] |
[a1,a2,a3,a4,a6] |
Generators |
[70:554:1] |
Generators of the group modulo torsion |
j |
-15625/713 |
j-invariant |
L |
3.6344117541349 |
L(r)(E,1)/r! |
Ω |
0.84058138149857 |
Real period |
R |
4.3236881450502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
713a1 |
Quadratic twists by: -7 |