Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430c |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15859200 |
Modular degree for the optimal curve |
Δ |
-6.0361866331299E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17923597,-23321074383] |
[a1,a2,a3,a4,a6] |
Generators |
[1204:1865:1] [2147:157241:1] |
Generators of the group modulo torsion |
j |
1245888191/1180980 |
j-invariant |
L |
7.1702545794942 |
L(r)(E,1)/r! |
Ω |
0.050044175881089 |
Real period |
R |
35.819625624284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430r1 |
Quadratic twists by: -59 |