Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bq |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-9.573522437091E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32485530,-72804310495] |
[a1,a2,a3,a4,a6] |
Generators |
[162393254943359741356:55493865982453877567973:1387277762088889] |
Generators of the group modulo torsion |
j |
-46028377077760/1162261467 |
j-invariant |
L |
7.1424866737179 |
L(r)(E,1)/r! |
Ω |
0.031571801210948 |
Real period |
R |
28.278742421106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cl1 88200hw1 88200be1 |
Quadratic twists by: -3 5 -7 |