Atkin-Lehner |
2+ 3- 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518g |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
151552 |
Modular degree for the optimal curve |
Δ |
1385321616 = 24 · 36 · 7 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22281,-1274563] |
[a1,a2,a3,a4,a6] |
Generators |
[35330:465599:125] |
Generators of the group modulo torsion |
j |
1678074290715537/1900304 |
j-invariant |
L |
5.733880057561 |
L(r)(E,1)/r! |
Ω |
0.39076440877446 |
Real period |
R |
7.3367480649481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12502c1 |
Quadratic twists by: -3 |