Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bx |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-278856034872187500 = -1 · 22 · 35 · 57 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61275,-26094375] |
[a1,a2,a3,a4,a6] |
Generators |
[764:18951:1] |
Generators of the group modulo torsion |
j |
-5764801/63180 |
j-invariant |
L |
3.4330760852453 |
L(r)(E,1)/r! |
Ω |
0.13134522834355 |
Real period |
R |
6.5344514955156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110cr1 95550de1 |
Quadratic twists by: 5 -7 |