Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550cl |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-770836248000 = -1 · 26 · 32 · 53 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1495,47125] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-199:1] |
Generators of the group modulo torsion |
j |
-25153757/52416 |
j-invariant |
L |
3.3364905144066 |
L(r)(E,1)/r! |
Ω |
0.79808363206201 |
Real period |
R |
0.52257845872887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550le1 13650bn1 |
Quadratic twists by: 5 -7 |