Atkin-Lehner |
2+ 3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310r |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
-333976420080 = -1 · 24 · 310 · 5 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,711,26653] |
[a1,a2,a3,a4,a6] |
Generators |
[14:191:1] |
Generators of the group modulo torsion |
j |
54483042671/458129520 |
j-invariant |
L |
6.078211881837 |
L(r)(E,1)/r! |
Ω |
0.70358661383648 |
Real period |
R |
2.1597241181662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999429946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770r1 |
Quadratic twists by: -3 |