Atkin-Lehner |
2+ 3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154y |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
1047172831488 = 28 · 37 · 74 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1052136,-415126976] |
[a1,a2,a3,a4,a6] |
Generators |
[3008:152216:1] |
Generators of the group modulo torsion |
j |
176690035566359715457/1436451072 |
j-invariant |
L |
5.0615272029469 |
L(r)(E,1)/r! |
Ω |
0.14906701855603 |
Real period |
R |
4.2443386056843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718f1 |
Quadratic twists by: -3 |