Atkin-Lehner |
3+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707c |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
121249890037352349 = 33 · 79 · 133 · 373 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-162157,18789630] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:6345:1] |
Generators of the group modulo torsion |
j |
4008161881096192/1030607060301 |
j-invariant |
L |
1.5921203865974 |
L(r)(E,1)/r! |
Ω |
0.30991979901131 |
Real period |
R |
0.42810010650358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10101f2 |
Quadratic twists by: -7 |