Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490t |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-943042054500000 = -1 · 25 · 313 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15122,-1648044] |
[a1,a2,a3,a4,a6] |
Generators |
[217:2204:1] |
Generators of the group modulo torsion |
j |
-2263130418396289/5580130500000 |
j-invariant |
L |
3.9775070504476 |
L(r)(E,1)/r! |
Ω |
0.20061654852453 |
Real period |
R |
3.3044025860125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470es1 35490cc1 |
Quadratic twists by: -3 13 |