Atkin-Lehner |
2+ 3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618a |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
-4.8622776289671E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-260168122,1649576108692] |
[a1,a2,a3,a4,a6] |
Generators |
[210916:96484126:1] |
Generators of the group modulo torsion |
j |
-337832666263933293368041/8434424065925385216 |
j-invariant |
L |
4.8302387764543 |
L(r)(E,1)/r! |
Ω |
0.063421665823003 |
Real period |
R |
0.79334067628511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72618w1 |
Quadratic twists by: -7 |