Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635k |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-6.0250577517758E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2549568,1610813664] |
[a1,a2,a3,a4,a6] |
Generators |
[4578:147339:8] |
Generators of the group modulo torsion |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
5.0455200345479 |
L(r)(E,1)/r! |
Ω |
0.19636802988602 |
Real period |
R |
6.4235507667317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34545v1 2115j1 |
Quadratic twists by: -3 -7 |