Atkin-Lehner |
3+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707c |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6850731258847749 = 3 · 715 · 13 · 37 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12182347,16370136915] |
[a1,a2,a3,a4,a6] |
Generators |
[14586:117645:8] |
Generators of the group modulo torsion |
j |
1699528316142259044352/58230254901 |
j-invariant |
L |
1.5921203865974 |
L(r)(E,1)/r! |
Ω |
0.30991979901131 |
Real period |
R |
1.2843003195108 |
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 |
10101f3 |
Quadratic twists by: -7 |