Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800o |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
144768 |
Modular degree for the optimal curve |
Δ |
755071372800 = 29 · 313 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -7 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2968,45128] |
[a1,a2,a3,a4,a6] |
Generators |
[74:486:1] [-46:294:1] |
Generators of the group modulo torsion |
j |
225970501640/58989951 |
j-invariant |
L |
11.927722222823 |
L(r)(E,1)/r! |
Ω |
0.84081299627668 |
Real period |
R |
0.54561305434522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800bd1 88800bv1 |
Quadratic twists by: -4 5 |