Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602c |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1535040 |
Modular degree for the optimal curve |
Δ |
-6063768188844945642 = -1 · 2 · 33 · 73 · 419 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 3 -2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-369014,146409702] |
[a1,a2,a3,a4,a6] |
Generators |
[498677407:39074330438:79507] |
Generators of the group modulo torsion |
j |
-16974593/18522 |
j-invariant |
L |
4.6574572681947 |
L(r)(E,1)/r! |
Ω |
0.2169848645877 |
Real period |
R |
10.732216916663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602j1 |
Quadratic twists by: 41 |