Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550cg |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-94074713971875000 = -1 · 23 · 39 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14675,14747125] |
[a1,a2,a3,a4,a6] |
Generators |
[4941:345013:1] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
3.4520295815586 |
L(r)(E,1)/r! |
Ω |
0.26188096433542 |
Real period |
R |
6.5908371864901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999571471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550jp1 1950m1 |
Quadratic twists by: 5 -7 |