Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7320a |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14054400 = 210 · 32 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1296,18396] |
[a1,a2,a3,a4,a6] |
Generators |
[18:24:1] |
Generators of the group modulo torsion |
j |
235273937476/13725 |
j-invariant |
L |
2.9015200963533 |
L(r)(E,1)/r! |
Ω |
2.1093021049335 |
Real period |
R |
0.68779149500842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14640i2 58560bv2 21960v2 36600z2 |
Quadratic twists by: -4 8 -3 5 |