Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980d |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54512640 |
Modular degree for the optimal curve |
Δ |
-7.3280404573484E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10197314716,396351774653080] |
[a1,a2,a3,a4,a6] |
Generators |
[160540185060846402:13642684530240094246:3329976704237] |
Generators of the group modulo torsion |
j |
-3322826709397587470416/2076416015625 |
j-invariant |
L |
4.3105693549542 |
L(r)(E,1)/r! |
Ω |
0.050675686927759 |
Real period |
R |
28.353961016843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70980i1 |
Quadratic twists by: 13 |