Atkin-Lehner |
3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35301a |
Isogeny class |
Conductor |
35301 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6667584 |
Modular degree for the optimal curve |
Δ |
5.7090589729862E+24 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 5 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79180178,-245651221996] |
[a1,a2,a3,a4,a6] |
Generators |
[190690086782540228:-9790540703168847052:16712418959263] |
Generators of the group modulo torsion |
j |
4090106028625/425329947 |
j-invariant |
L |
3.0576382771466 |
L(r)(E,1)/r! |
Ω |
0.050951101060791 |
Real period |
R |
30.005615320251 |
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 |
105903c1 35301k1 |
Quadratic twists by: -3 41 |