Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640a |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-2.04233925E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-726976,323035360] |
[a1,a2,a3,a4,a6] |
Generators |
[236:12828:1] |
Generators of the group modulo torsion |
j |
-20746965167779810178/9972359619140625 |
j-invariant |
L |
4.5098171541824 |
L(r)(E,1)/r! |
Ω |
0.20150495502271 |
Real period |
R |
5.5951690538657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320v1 |
Quadratic twists by: -4 |