Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310h |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2156580360900 = 22 · 38 · 52 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3780,-53924] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:188:1] |
Generators of the group modulo torsion |
j |
8194759433281/2958272100 |
j-invariant |
L |
3.1392467955378 |
L(r)(E,1)/r! |
Ω |
0.62716533873105 |
Real period |
R |
1.2513633174824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770r2 116550ep2 |
Quadratic twists by: -3 5 |