Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680i |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
878735822431250000 = 24 · 58 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-326895,56153882] |
[a1,a2,a3,a4,a6] |
Generators |
[9014:854070:1] |
Generators of the group modulo torsion |
j |
2052303811262464/466820703125 |
j-invariant |
L |
10.144364563562 |
L(r)(E,1)/r! |
Ω |
0.26442560444503 |
Real period |
R |
4.7954719452154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840g1 16240e1 |
Quadratic twists by: -4 -7 |