Atkin-Lehner |
5- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
7505c |
Isogeny class |
Conductor |
7505 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
816 |
Modular degree for the optimal curve |
Δ |
7505 = 5 · 19 · 79 |
Discriminant |
Eigenvalues |
-1 0 5- 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-157,-716] |
[a1,a2,a3,a4,a6] |
Generators |
[22122:96182:729] |
Generators of the group modulo torsion |
j |
425428681761/7505 |
j-invariant |
L |
2.7035439350186 |
L(r)(E,1)/r! |
Ω |
1.349402239365 |
Real period |
R |
8.0140490541671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120080k1 67545e1 37525c1 |
Quadratic twists by: -4 -3 5 |