Atkin-Lehner |
3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
34839c |
Isogeny class |
Conductor |
34839 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-4566034179 = -1 · 33 · 73 · 793 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 2 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-861,10253] |
[a1,a2,a3,a4,a6] |
Generators |
[114:233:8] |
Generators of the group modulo torsion |
j |
-7622111232/493039 |
j-invariant |
L |
14.062418897424 |
L(r)(E,1)/r! |
Ω |
1.354479019817 |
Real period |
R |
0.86518006134224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34839f1 34839d1 |
Quadratic twists by: -3 -7 |